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12889632 = 253719181
BaseRepresentation
bin110001001010…
…111000100000
3220020212020210
4301022320200
511244432012
61140134120
7214363050
oct61127040
926225223
1012889632
117304198
124397340
132893c02
1419d7560
1511e923c
hexc4ae20

12889632 has 48 divisors (see below), whose sum is σ = 38670912. Its totient is φ = 3682560.

The previous prime is 12889627. The next prime is 12889649. The reversal of 12889632 is 23698821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×128896322 = 332285226190848, which contains 22 as substring.

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, 8919 + ... + 10262.

It is an arithmetic number, because the mean of its divisors is an integer number (805644).

Almost surely, 212889632 is an apocalyptic number.

12889632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12889632 is an abundant number, since it is smaller than the sum of its proper divisors (25781280).

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

12889632 is a wasteful number, since it uses less digits than its factorization.

12889632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19201 (or 19193 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 12889632 is about 3590.2133641331. The cubic root of 12889632 is about 234.4661610890.

The spelling of 12889632 in words is "twelve million, eight hundred eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 19181 38362 57543 76724 115086 134267 153448 230172 268534 306896 402801 460344 537068 613792 805602 920688 1074136 1611204 1841376 2148272 3222408 4296544 6444816 12889632