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164675992 = 231314910627
BaseRepresentation
bin10011101000011…
…00000110011000
3102110212101222211
421310030012120
5314124112432
624201324504
74036502635
oct1164140630
9373771884
10164675992
1184a56568
1247196734
1328169c20
1417c2918c
15e6ccd47
hex9d0c198

164675992 has 32 divisors (see below), whose sum is σ = 334782000. Its totient is φ = 75487104.

The previous prime is 164675989. The next prime is 164675993. The reversal of 164675992 is 299576461.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164675993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10183 + ... + 20809.

Almost surely, 2164675992 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 164675992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167391000).

164675992 is an abundant number, since it is smaller than the sum of its proper divisors (170106008).

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

164675992 is a wasteful number, since it uses less digits than its factorization.

164675992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10795 (or 10791 counting only the distinct ones).

The product of its digits is 816480, while the sum is 49.

The square root of 164675992 is about 12832.6143867881. The cubic root of 164675992 is about 548.1214056054.

The spelling of 164675992 in words is "one hundred sixty-four million, six hundred seventy-five thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 26 52 104 149 298 596 1192 1937 3874 7748 10627 15496 21254 42508 85016 138151 276302 552604 1105208 1583423 3166846 6333692 12667384 20584499 41168998 82337996 164675992