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13739648 = 271323359
BaseRepresentation
bin110100011010…
…011010000000
3221212001020212
4310122122000
512004132043
61210253252
7224533166
oct64323200
927761225
1013739648
11783488a
124727228
132b00a90
141b79236
151316018
hexd1a680

13739648 has 64 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 6048768.

The previous prime is 13739639. The next prime is 13739659. The reversal of 13739648 is 84693731.

It is a tau number, because it is divible by the number of its divisors (64).

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, 38093 + ... + 38451.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 213739648 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 13739648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

13739648 is an abundant number, since it is smaller than the sum of its proper divisors (17105152).

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

13739648 is a wasteful number, since it uses less digits than its factorization.

13739648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 397 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 13739648 is about 3706.7031173268. The cubic root of 13739648 is about 239.5108556031.

The spelling of 13739648 in words is "thirteen million, seven hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 299 359 368 416 598 718 736 832 1196 1436 1472 1664 2392 2872 2944 4667 4784 5744 8257 9334 9568 11488 16514 18668 19136 22976 33028 37336 38272 45952 66056 74672 107341 132112 149344 214682 264224 298688 429364 528448 597376 858728 1056896 1717456 3434912 6869824 13739648