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157976 = 23721331
BaseRepresentation
bin100110100100011000
322000200222
4212210120
520023401
63215212
71225400
oct464430
9260628
10157976
11a8765
1277508
1356ba0
1441800
1531c1b
hex26918

157976 has 48 divisors (see below), whose sum is σ = 383040. Its totient is φ = 60480.

The previous prime is 157951. The next prime is 157991. The reversal of 157976 is 679751.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5081 + ... + 5111.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2157976 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 157976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191520).

157976 is an abundant number, since it is smaller than the sum of its proper divisors (225064).

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

157976 is a wasteful number, since it uses less digits than its factorization.

157976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 53 counting only the distinct ones).

The product of its digits is 13230, while the sum is 35.

The square root of 157976 is about 397.4619478642. The cubic root of 157976 is about 54.0584643429.

The spelling of 157976 in words is "one hundred fifty-seven thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 26 28 31 49 52 56 62 91 98 104 124 182 196 217 248 364 392 403 434 637 728 806 868 1274 1519 1612 1736 2548 2821 3038 3224 5096 5642 6076 11284 12152 19747 22568 39494 78988 157976