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155413872 = 24321139551
BaseRepresentation
bin10010100001101…
…10110101110000
3101211102211202100
421100312311300
5304241220442
623231020400
73564665445
oct1120666560
9354384670
10155413872
117a7aa819
124406a700
1326276193
14168d79cc
15d99d84c
hex9436d70

155413872 has 60 divisors (see below), whose sum is σ = 438837984. Its totient is φ = 51340800.

The previous prime is 155413849. The next prime is 155413879. The reversal of 155413872 is 278314551.

155413872 is a `hidden beast` number, since 1 + 554 + 1 + 38 + 72 = 666.

It is a super-2 number, since 2×1554138722 = 48306943220064768, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155413879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11497 + ... + 21047.

Almost surely, 2155413872 is an apocalyptic number.

155413872 is a gapful number since it is divisible by the number (12) 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 155413872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219418992).

155413872 is an abundant number, since it is smaller than the sum of its proper divisors (283424112).

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

155413872 is a wasteful number, since it uses less digits than its factorization.

155413872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9678 (or 9669 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 155413872 is about 12466.5100168411. The cubic root of 155413872 is about 537.6462159992.

The spelling of 155413872 in words is "one hundred fifty-five million, four hundred thirteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 9551 16272 19102 28653 38204 57306 76408 85959 114612 152816 171918 229224 343836 458448 687672 1079263 1375344 2158526 3237789 4317052 6475578 8634104 9713367 12951156 17268208 19426734 25902312 38853468 51804624 77706936 155413872