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157058352 = 24341123479
BaseRepresentation
bin10010101110010…
…00010100110000
3101221112101120000
421113020110300
5310201331402
623330150000
73614655033
oct1127102460
9357471500
10157058352
11807232a0
1244722300
1326700849
1416c0501a
15dbc5c1c
hex95c8530

157058352 has 200 divisors, whose sum is σ = 518538240. Its totient is φ = 45429120.

The previous prime is 157058339. The next prime is 157058371. The reversal of 157058352 is 253850751.

157058352 is a `hidden beast` number, since 1 + 5 + 70 + 583 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327649 + ... + 328127.

Almost surely, 2157058352 is an apocalyptic number.

157058352 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 157058352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259269120).

157058352 is an abundant number, since it is smaller than the sum of its proper divisors (361479888).

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

157058352 is a wasteful number, since it uses less digits than its factorization.

157058352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 157058352 is about 12532.2923681185. The cubic root of 157058352 is about 539.5358975382.

The spelling of 157058352 in words is "one hundred fifty-seven million, fifty-eight thousand, three hundred fifty-two".