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157157550 = 233521119557
BaseRepresentation
bin10010101111000…
…00100010101110
3101221201102122000
421113200202232
5310213020200
623332233130
73615550164
oct1127404256
9357642560
10157157550
1180790880
124476b7a6
1326736a44
1416c2d234
15dbe5300
hex95e08ae

157157550 has 192 divisors, whose sum is σ = 498182400. Its totient is φ = 36028800.

The previous prime is 157157549. The next prime is 157157563. The reversal of 157157550 is 55751751.

157157550 is a `hidden beast` number, since 1 + 57 + 1 + 57 + 550 = 666.

157157550 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 281872 + ... + 282428.

It is an arithmetic number, because the mean of its divisors is an integer number (2594700).

Almost surely, 2157157550 is an apocalyptic number.

157157550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157157550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249091200).

157157550 is an abundant number, since it is smaller than the sum of its proper divisors (341024850).

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

157157550 is a wasteful number, since it uses less digits than its factorization.

157157550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 30625, while the sum is 36.

The square root of 157157550 is about 12536.2494391265. The cubic root of 157157550 is about 539.6494638599.

The spelling of 157157550 in words is "one hundred fifty-seven million, one hundred fifty-seven thousand, five hundred fifty".