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164256732 = 223243106109
BaseRepresentation
bin10011100101001…
…01101111011100
3102110002002212200
421302211233130
5314022203412
624144331500
74033105413
oct1162455734
9373062780
10164256732
118479a572
1247013b90
1328051143
1417b5a47a
15e6489dc
hex9ca5bdc

164256732 has 36 divisors (see below), whose sum is σ = 424864440. Its totient is φ = 53478432.

The previous prime is 164256707. The next prime is 164256733. The reversal of 164256732 is 237652461.

164256732 is a `hidden beast` number, since 1 + 64 + 2 + 567 + 32 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164256733) 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, 51507 + ... + 54602.

It is an arithmetic number, because the mean of its divisors is an integer number (11801790).

Almost surely, 2164256732 is an apocalyptic number.

164256732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164256732 is an abundant number, since it is smaller than the sum of its proper divisors (260607708).

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

164256732 is a wasteful number, since it uses less digits than its factorization.

164256732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106162 (or 106157 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 164256732 is about 12816.2682556195. The cubic root of 164256732 is about 547.6558435445.

The spelling of 164256732 in words is "one hundred sixty-four million, two hundred fifty-six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 106109 212218 318327 424436 636654 954981 1273308 1909962 3819924 4562687 9125374 13688061 18250748 27376122 41064183 54752244 82128366 164256732