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12649056 = 253722689
BaseRepresentation
bin110000010000…
…001001100000
3212210122020120
4300100021200
511214232211
61131040240
7212341500
oct60201140
925718216
1012649056
11715a472
1242a0080
13280b564
141973a00
15119cd06
hexc10260

12649056 has 72 divisors (see below), whose sum is σ = 38639160. Its totient is φ = 3612672.

The previous prime is 12649051. The next prime is 12649061. The reversal of 12649056 is 65094621.

It is an interprime number because it is at equal distance from previous prime (12649051) and next prime (12649061).

It is a super-2 number, since 2×126490562 = 319997235382272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12649051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3360 + ... + 6048.

It is an arithmetic number, because the mean of its divisors is an integer number (536655).

Almost surely, 212649056 is an apocalyptic number.

12649056 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 12649056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19319580).

12649056 is an abundant number, since it is smaller than the sum of its proper divisors (25990104).

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

12649056 is a wasteful number, since it uses less digits than its factorization.

12649056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 12649056 is about 3556.5511383924. The cubic root of 12649056 is about 232.9982746531.

The spelling of 12649056 in words is "twelve million, six hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 2689 4704 5378 8067 10756 16134 18823 21512 32268 37646 43024 56469 64536 75292 86048 112938 129072 131761 150584 225876 258144 263522 301168 395283 451752 527044 602336 790566 903504 1054088 1581132 1807008 2108176 3162264 4216352 6324528 12649056