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152956896 = 2534138861
BaseRepresentation
bin10010001110111…
…10111111100000
3101122211000102020
421013132333200
5303124110041
623102221440
73535053321
oct1107367740
9348730366
10152956896
1179381864
1243284880
13258c5a51
1416458448
15d665866
hex91defe0

152956896 has 48 divisors (see below), whose sum is σ = 411315408. Its totient is φ = 49740800.

The previous prime is 152956861. The next prime is 152956901. The reversal of 152956896 is 698659251.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15495 + ... + 23366.

It is an arithmetic number, because the mean of its divisors is an integer number (8569071).

Almost surely, 2152956896 is an apocalyptic number.

152956896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

152956896 is an abundant number, since it is smaller than the sum of its proper divisors (258358512).

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

152956896 is a wasteful number, since it uses less digits than its factorization.

152956896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38915 (or 38907 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 51.

The square root of 152956896 is about 12367.5743781875. The cubic root of 152956896 is about 534.7978926232.

The spelling of 152956896 in words is "one hundred fifty-two million, nine hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 38861 77722 116583 155444 233166 310888 466332 621776 932664 1243552 1593301 1865328 3186602 3730656 4779903 6373204 9559806 12746408 19119612 25492816 38239224 50985632 76478448 152956896