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157055976 = 233372111971
BaseRepresentation
bin10010101110001…
…11101111101000
3101221112021022000
421113013233220
5310201242401
623330131000
73614645100
oct1127075750
9357467260
10157055976
1180721530
1244720a60
13266cc73c
1416c04200
15dbc5186
hex95c7be8

157055976 has 384 divisors, whose sum is σ = 590976000. Its totient is φ = 38102400.

The previous prime is 157055939. The next prime is 157055993. The reversal of 157055976 is 679550751.

It is a happy number.

157055976 is a `hidden beast` number, since 1 + 57 + 0 + 5 + 597 + 6 = 666.

157055976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2212021 + ... + 2212091.

It is an arithmetic number, because the mean of its divisors is an integer number (1539000).

Almost surely, 2157055976 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 157055976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295488000).

157055976 is an abundant number, since it is smaller than the sum of its proper divisors (433920024).

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

157055976 is a wasteful number, since it uses less digits than its factorization.

157055976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 45.

The square root of 157055976 is about 12532.1975726526. The cubic root of 157055976 is about 539.5331768004.

The spelling of 157055976 in words is "one hundred fifty-seven million, fifty-five thousand, nine hundred seventy-six".