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159971952 = 2437476107
BaseRepresentation
bin10011000100011…
…11101001110000
3102011000102021010
421202033221300
5311423100302
623512430520
73651511350
oct1142175160
9364012233
10159971952
1182333328
12456a8440
13271b0a7a
1417362b60
15e09e16c
hex988fa70

159971952 has 40 divisors (see below), whose sum is σ = 472299136. Its totient is φ = 45706176.

The previous prime is 159971939. The next prime is 159971993. The reversal of 159971952 is 259179951.

159971952 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 237718 + ... + 238389.

Almost surely, 2159971952 is an apocalyptic number.

159971952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

159971952 is an abundant number, since it is smaller than the sum of its proper divisors (312327184).

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

159971952 is a wasteful number, since it uses less digits than its factorization.

159971952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476125 (or 476119 counting only the distinct ones).

The product of its digits is 255150, while the sum is 48.

The square root of 159971952 is about 12648.0018975331. The cubic root of 159971952 is about 542.8517989713.

Subtracting from 159971952 its sum of digits (48), we obtain a square (159971904 = 126482).

The spelling of 159971952 in words is "one hundred fifty-nine million, nine hundred seventy-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 476107 952214 1428321 1904428 2856642 3332749 3808856 5713284 6665498 7617712 9998247 11426568 13330996 19996494 22853136 26661992 39992988 53323984 79985976 159971952