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12938496 = 28317991
BaseRepresentation
bin110001010110…
…110100000000
3220100100021120
4301112310000
511303012441
61141152240
7214655364
oct61266400
926310246
1012938496
11733797a
1243bb680
1328b021c
141a0b2a4
151208966
hexc56d00

12938496 has 72 divisors (see below), whose sum is σ = 36497664. Its totient is φ = 4055040.

The previous prime is 12938483. The next prime is 12938503. The reversal of 12938496 is 69483921.

It is a congruent number.

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, 12561 + ... + 13551.

It is an arithmetic number, because the mean of its divisors is an integer number (506912).

Almost surely, 212938496 is an apocalyptic number.

12938496 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 12938496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18248832).

12938496 is an abundant number, since it is smaller than the sum of its proper divisors (23559168).

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

12938496 is an equidigital number, since it uses as much as digits as its factorization.

12938496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1013 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 12938496 is about 3597.0120933908. The cubic root of 12938496 is about 234.7620709416.

The spelling of 12938496 in words is "twelve million, nine hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 991 1088 1632 1982 2176 2973 3264 3964 4352 5946 6528 7928 11892 13056 15856 16847 23784 31712 33694 47568 50541 63424 67388 95136 101082 126848 134776 190272 202164 253696 269552 380544 404328 539104 761088 808656 1078208 1617312 2156416 3234624 4312832 6469248 12938496