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164572296 = 23371138669
BaseRepresentation
bin10011100111100…
…10110010001000
3102110200010202020
421303302302020
5314112303141
624155204440
74035561420
oct1163626210
9373603666
10164572296
1184995669
1247146720
1328131975
1417bdd480
15e6ac266
hex9cf2c88

164572296 has 64 divisors (see below), whose sum is σ = 474422400. Its totient is φ = 46599168.

The previous prime is 164572283. The next prime is 164572307. The reversal of 164572296 is 692275461.

It is a super-2 number, since 2×1645722962 = 54168081221423232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 14650 + ... + 23318.

It is an arithmetic number, because the mean of its divisors is an integer number (7412850).

Almost surely, 2164572296 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 164572296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237211200).

164572296 is an abundant number, since it is smaller than the sum of its proper divisors (309850104).

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

164572296 is a wasteful number, since it uses less digits than its factorization.

164572296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8798 (or 8794 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 164572296 is about 12828.5734202989. The cubic root of 164572296 is about 548.0063312888.

The spelling of 164572296 in words is "one hundred sixty-four million, five hundred seventy-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 339 452 678 791 904 1356 1582 2373 2712 3164 4746 6328 8669 9492 17338 18984 26007 34676 52014 60683 69352 104028 121366 182049 208056 242732 364098 485464 728196 979597 1456392 1959194 2938791 3918388 5877582 6857179 7836776 11755164 13714358 20571537 23510328 27428716 41143074 54857432 82286148 164572296