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2045001552 = 24311311031213
BaseRepresentation
bin111100111100100…
…0011111101010000
312021112000211202020
41321321003331100
513142010022202
6534531251440
7101451140436
oct17171037520
95245024666
102045001552
1195a393a30
12490a49b80
132678a25b9
14155850d56
15be8015bc
hex79e43f50

2045001552 has 160 divisors (see below), whose sum is σ = 6011805696. Its totient is φ = 593395200.

The previous prime is 2045001533. The next prime is 2045001557. The reversal of 2045001552 is 2551005402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045001557) 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 31 ways as a sum of consecutive naturals, for example, 1685298 + ... + 1686510.

Almost surely, 22045001552 is an apocalyptic number.

2045001552 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 2045001552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005902848).

2045001552 is an abundant number, since it is smaller than the sum of its proper divisors (3966804144).

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

2045001552 is a wasteful number, since it uses less digits than its factorization.

2045001552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 2045001552 is about 45221.6933782891. The cubic root of 2045001552 is about 1269.3007811201.

Adding to 2045001552 its reverse (2551005402), we get a palindrome (4596006954).

The spelling of 2045001552 in words is "two billion, forty-five million, one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 103 124 132 176 186 206 248 264 309 341 372 412 496 528 618 682 744 824 1023 1133 1213 1236 1364 1488 1648 2046 2266 2426 2472 2728 3193 3399 3639 4092 4532 4852 4944 5456 6386 6798 7278 8184 9064 9579 9704 12772 13343 13596 14556 16368 18128 19158 19408 25544 26686 27192 29112 35123 37603 38316 40029 51088 53372 54384 58224 70246 75206 76632 80058 105369 106744 112809 124939 140492 150412 153264 160116 210738 213488 225618 249878 280984 300824 320232 374817 413633 421476 451236 499756 561968 601648 640464 749634 827266 842952 902472 999512 1240899 1374329 1499268 1654532 1685904 1804944 1999024 2481798 2748658 2998536 3309064 3873109 4122987 4963596 5497316 5997072 6618128 7746218 8245974 9927192 10994632 11619327 15492436 16491948 19854384 21989264 23238654 30984872 32983896 42604199 46477308 61969744 65967792 85208398 92954616 127812597 170416796 185909232 255625194 340833592 511250388 681667184 1022500776 2045001552