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12472896 = 263167389
BaseRepresentation
bin101111100101…
…001001000000
3212110200121010
4233211021000
511143113041
61123200520
7211006062
oct57451100
925420533
1012472896
11704a087
124216140
132779317
141929732
151165a16
hexbe5240

12472896 has 56 divisors (see below), whose sum is σ = 33284160. Its totient is φ = 4122112.

The previous prime is 12472879. The next prime is 12472909. The reversal of 12472896 is 69827421.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31870 + ... + 32258.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 212472896 is an apocalyptic number.

12472896 is a gapful number since it is divisible by the number (16) 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 12472896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642080).

12472896 is an abundant number, since it is smaller than the sum of its proper divisors (20811264).

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

12472896 is a wasteful number, since it uses less digits than its factorization.

12472896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 561 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 12472896 is about 3531.6987413991. The cubic root of 12472896 is about 231.9115794641.

The spelling of 12472896 in words is "twelve million, four hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 167 192 334 389 501 668 778 1002 1167 1336 1556 2004 2334 2672 3112 4008 4668 5344 6224 8016 9336 10688 12448 16032 18672 24896 32064 37344 64963 74688 129926 194889 259852 389778 519704 779556 1039408 1559112 2078816 3118224 4157632 6236448 12472896