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164992524 = 223232632273
BaseRepresentation
bin10011101010110…
…01011000001100
3102111110111012020
421311121120030
5314214230044
624212210140
74042261524
oct1165313014
9374414166
10164992524
1185152364
1247309950
132824b018
1417cac684
15e741a19
hex9d5960c

164992524 has 48 divisors (see below), whose sum is σ = 403425792. Its totient is φ = 52383232.

The previous prime is 164992481. The next prime is 164992589. The reversal of 164992524 is 425299461.

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, 71452 + ... + 73724.

It is an arithmetic number, because the mean of its divisors is an integer number (8404704).

Almost surely, 2164992524 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 164992524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201712896).

164992524 is an abundant number, since it is smaller than the sum of its proper divisors (238433268).

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

164992524 is a wasteful number, since it uses less digits than its factorization.

164992524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2564 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 164992524 is about 12844.9415724635. The cubic root of 164992524 is about 548.4723713982.

The spelling of 164992524 in words is "one hundred sixty-four million, nine hundred ninety-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 263 276 526 789 1052 1578 2273 3156 4546 6049 6819 9092 12098 13638 18147 24196 27276 36294 52279 72588 104558 156837 209116 313674 597799 627348 1195598 1793397 2391196 3586794 7173588 13749377 27498754 41248131 54997508 82496262 164992524