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12472768 = 267112531
BaseRepresentation
bin101111100101…
…000111000000
3212110200102101
4233211013000
511143112033
61123200144
7211005520
oct57450700
925420371
1012472768
117049a80
124216054
132779249
141929680
15116597d
hexbe51c0

12472768 has 56 divisors (see below), whose sum is σ = 30870144. Its totient is φ = 4857600.

The previous prime is 12472753. The next prime is 12472799. The reversal of 12472768 is 86727421.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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, 3663 + ... + 6193.

Almost surely, 212472768 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 12472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15435072).

12472768 is an abundant number, since it is smaller than the sum of its proper divisors (18397376).

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

12472768 is a wasteful number, since it uses less digits than its factorization.

12472768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2551 counting only the distinct ones).

The product of its digits is 37632, while the sum is 37.

The square root of 12472768 is about 3531.6806197616. The cubic root of 12472768 is about 231.9107861497.

The spelling of 12472768 in words is "twelve million, four hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 2531 4928 5062 10124 17717 20248 27841 35434 40496 55682 70868 80992 111364 141736 161984 194887 222728 283472 389774 445456 566944 779548 890912 1133888 1559096 1781824 3118192 6236384 12472768