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12428352 = 263221577
BaseRepresentation
bin101111011010…
…010001000000
3212101102111100
4233122101000
511140201402
61122214400
7210432156
oct57322100
925342440
1012428352
117019672
1241b4400
132761c71
1419173d6
15115771c
hexbda440

12428352 has 42 divisors (see below), whose sum is σ = 35625278. Its totient is φ = 4142592.

The previous prime is 12428329. The next prime is 12428389. The reversal of 12428352 is 25382421.

It can be written as a sum of positive squares in only one way, i.e., 11943936 + 484416 = 3456^2 + 696^2 .

It is a hoax number, since the sum of its digits (27) 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 5 ways as a sum of consecutive naturals, for example, 10213 + ... + 11364.

Almost surely, 212428352 is an apocalyptic number.

12428352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12428352 is an abundant number, since it is smaller than the sum of its proper divisors (23196926).

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

12428352 is a wasteful number, since it uses less digits than its factorization.

12428352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21595 (or 21582 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 12428352 is about 3525.3867872902. The cubic root of 12428352 is about 231.6351777040.

The spelling of 12428352 in words is "twelve million, four hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 21577 43154 64731 86308 129462 172616 194193 258924 345232 388386 517848 690464 776772 1035696 1380928 1553544 2071392 3107088 4142784 6214176 12428352