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12923952 = 2431937383
BaseRepresentation
bin110001010011…
…010000110000
3220022121022220
4301103100300
511302031302
61141001040
7214565106
oct61232060
926277286
1012923952
117327a58
1243b3180
1328a6712
141a05c76
1512044bc
hexc53430

12923952 has 80 divisors (see below), whose sum is σ = 36188160. Its totient is φ = 3960576.

The previous prime is 12923947. The next prime is 12923983. The reversal of 12923952 is 25932921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33553 + ... + 33935.

It is an arithmetic number, because the mean of its divisors is an integer number (452352).

Almost surely, 212923952 is an apocalyptic number.

12923952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12923952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18094080).

12923952 is an abundant number, since it is smaller than the sum of its proper divisors (23264208).

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

12923952 is a wasteful number, since it uses less digits than its factorization.

12923952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 12923952 is about 3594.9898469954. The cubic root of 12923952 is about 234.6740736011.

The spelling of 12923952 in words is "twelve million, nine hundred twenty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 148 152 222 228 296 304 383 444 456 592 703 766 888 912 1149 1406 1532 1776 2109 2298 2812 3064 4218 4596 5624 6128 7277 8436 9192 11248 14171 14554 16872 18384 21831 28342 29108 33744 42513 43662 56684 58216 85026 87324 113368 116432 170052 174648 226736 269249 340104 349296 538498 680208 807747 1076996 1615494 2153992 3230988 4307984 6461976 12923952