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2041523352 = 233411319239
BaseRepresentation
bin111100110101111…
…0010110010011000
312021021111010120000
41321223302302120
513140112221402
6534324533000
7101406443061
oct17153626230
95237433500
102041523352
11958428790
1248b851160
13266c553ab
141551c7568
15be365c1c
hex79af2c98

2041523352 has 160 divisors (see below), whose sum is σ = 6439910400. Its totient is φ = 598622400.

The previous prime is 2041523333. The next prime is 2041523357. The reversal of 2041523352 is 2533251402.

It is a happy number.

It is a super-2 number, since 2×20415233522 = 8335635193522631808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041523357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 216349 + ... + 225587.

It is an arithmetic number, because the mean of its divisors is an integer number (40249440).

Almost surely, 22041523352 is an apocalyptic number.

2041523352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041523352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219955200).

2041523352 is an abundant number, since it is smaller than the sum of its proper divisors (4398387048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2041523352 is a wasteful number, since it uses less digits than its factorization.

2041523352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9299 (or 9286 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2041523352 is about 45183.2198055871. The cubic root of 2041523352 is about 1268.5807511315.

Adding to 2041523352 its reverse (2533251402), we get a palindrome (4574774754).

The spelling of 2041523352 in words is "two billion, forty-one million, five hundred twenty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 81 88 93 99 108 124 132 162 186 198 216 248 264 279 297 324 341 372 396 558 594 648 682 744 792 837 891 1023 1116 1188 1364 1674 1782 2046 2232 2376 2511 2728 3069 3348 3564 4092 5022 6138 6696 7128 8184 9207 9239 10044 12276 18414 18478 20088 24552 27621 27717 36828 36956 55242 55434 73656 73912 83151 101629 110484 110868 166302 203258 220968 221736 249453 286409 304887 332604 406516 498906 572818 609774 665208 748359 813032 859227 914661 997812 1145636 1219548 1496718 1718454 1829322 1995624 2291272 2439096 2577681 2743983 2993436 3150499 3436908 3658644 5155362 5487966 5986872 6300998 6873816 7317288 7733043 8231949 9451497 10310724 10975932 12601996 15466086 16463898 18902994 20621448 21951864 23199129 25203992 28354491 30932172 32927796 37805988 46398258 56708982 61864344 65855592 75611976 85063473 92796516 113417964 170126946 185593032 226835928 255190419 340253892 510380838 680507784 1020761676 2041523352