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12453728 = 257531049
BaseRepresentation
bin101111100000…
…011101100000
3212102201022012
4233200131200
511142004403
61122532052
7210566150
oct57403540
925381265
1012453728
117036741
124207028
132770691
141922760
15115eed8
hexbe0760

12453728 has 48 divisors (see below), whose sum is σ = 28576800. Its totient is φ = 5231616.

The previous prime is 12453713. The next prime is 12453737. The reversal of 12453728 is 82735421.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12453694 and 12453703.

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, 11348 + ... + 12396.

It is an arithmetic number, because the mean of its divisors is an integer number (595350).

Almost surely, 212453728 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 12453728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14288400).

12453728 is an abundant number, since it is smaller than the sum of its proper divisors (16123072).

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

12453728 is a wasteful number, since it uses less digits than its factorization.

12453728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1111 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 12453728 is about 3528.9839897625. The cubic root of 12453728 is about 231.7927201329.

The spelling of 12453728 in words is "twelve million, four hundred fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1049 1484 1696 2098 2968 4196 5936 7343 8392 11872 14686 16784 29372 33568 55597 58744 111194 117488 222388 234976 389179 444776 778358 889552 1556716 1779104 3113432 6226864 12453728