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2852000496 = 2433311731231
BaseRepresentation
bin1010100111111110…
…0001001011110000
321100202112122012000
42221333201023300
521320103003441
61151000134000
7130450414152
oct25177411360
97322478160
102852000496
111233975204
12677167300
13365b36077
141d0abcad2
1511a5ac2b6
hexa9fe12f0

2852000496 has 160 divisors (see below), whose sum is σ = 8506122240. Its totient is φ = 913939200.

The previous prime is 2852000479. The next prime is 2852000521. The reversal of 2852000496 is 6940002582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2852000496.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2316201 + ... + 2317431.

It is an arithmetic number, because the mean of its divisors is an integer number (53163264).

Almost surely, 22852000496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2852000496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253061120).

2852000496 is an abundant number, since it is smaller than the sum of its proper divisors (5654121744).

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

2852000496 is a wasteful number, since it uses less digits than its factorization.

2852000496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2852000496 is about 53404.1243351110. The cubic root of 2852000496 is about 1418.1315927882.

The spelling of 2852000496 in words is "two billion, eight hundred fifty-two million, four hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 173 186 216 248 279 346 372 432 496 519 558 692 744 837 1038 1116 1231 1384 1488 1557 1674 2076 2232 2462 2768 3114 3348 3693 4152 4464 4671 4924 5363 6228 6696 7386 8304 9342 9848 10726 11079 12456 13392 14772 16089 18684 19696 21452 22158 24912 29544 32178 33237 37368 38161 42904 44316 48267 59088 64356 66474 74736 76322 85808 88632 96534 114483 128712 132948 144801 152644 177264 193068 212963 228966 257424 265896 289602 305288 343449 386136 425926 457932 531792 579204 610576 638889 686898 772272 851852 915864 1030347 1158408 1277778 1373796 1703704 1831728 1916667 2060694 2316816 2555556 2747592 3407408 3833334 4121388 5111112 5495184 5750001 6601853 7666668 8242776 10222224 11500002 13203706 15333336 16485552 19805559 23000004 26407412 30666672 39611118 46000008 52814824 59416677 79222236 92000016 105629648 118833354 158444472 178250031 237666708 316888944 356500062 475333416 713000124 950666832 1426000248 2852000496