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164175312 = 2437488617
BaseRepresentation
bin10011100100100…
…01110111010000
3102102220222012010
421302101313100
5314012102222
624142502520
74032316140
oct1162216720
9372828163
10164175312
1184744384
1246b94a40
1328023072
1417b38920
15e62e80c
hex9c91dd0

164175312 has 40 divisors (see below), whose sum is σ = 484709056. Its totient is φ = 46907136.

The previous prime is 164175299. The next prime is 164175317. The reversal of 164175312 is 213571461.

It is a self number, because there is not a number n which added to its sum of digits gives 164175312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164175317) by changing a digit.

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, 243973 + ... + 244644.

Almost surely, 2164175312 is an apocalyptic number.

164175312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164175312 is an abundant number, since it is smaller than the sum of its proper divisors (320533744).

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

164175312 is a wasteful number, since it uses less digits than its factorization.

164175312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488635 (or 488629 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 164175312 is about 12813.0914302521. The cubic root of 164175312 is about 547.5653398802.

The spelling of 164175312 in words is "one hundred sixty-four million, one hundred seventy-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 488617 977234 1465851 1954468 2931702 3420319 3908936 5863404 6840638 7817872 10260957 11726808 13681276 20521914 23453616 27362552 41043828 54725104 82087656 164175312