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172172052 = 223213367889
BaseRepresentation
bin10100100001100…
…10001100010100
3102222222020122200
422100302030110
5323034001202
625030124500
74160303223
oct1220621424
9388866580
10172172052
1189206458
12497b0730
1329892b70
1418c1acba
15101ade1c
hexa432314

172172052 has 36 divisors (see below), whose sum is σ = 468691860. Its totient is φ = 52975872.

The previous prime is 172172051. The next prime is 172172057. The reversal of 172172052 is 250271271.

It can be written as a sum of positive squares in 2 ways, for example, as 53056656 + 119115396 = 7284^2 + 10914^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172172051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183477 + ... + 184412.

Almost surely, 2172172052 is an apocalyptic number.

172172052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

172172052 is an abundant number, since it is smaller than the sum of its proper divisors (296519808).

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

172172052 is a wasteful number, since it uses less digits than its factorization.

172172052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367912 (or 367907 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 172172052 is about 13121.4348300786. The cubic root of 172172052 is about 556.3151474932.

The spelling of 172172052 in words is "one hundred seventy-two million, one hundred seventy-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 367889 735778 1103667 1471556 2207334 3311001 4414668 4782557 6622002 9565114 13244004 14347671 19130228 28695342 43043013 57390684 86086026 172172052