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13424896 = 282292
BaseRepresentation
bin110011001101…
…100100000000
3221021001111101
4303031210000
511414044041
61155424144
7222052432
oct63154400
927231441
1013424896
11763a361
1245b5054
132a20734
141ad6652
1512a2b31
hexccd900

13424896 has 27 divisors (see below), whose sum is σ = 26914881. Its totient is φ = 6683136.

The previous prime is 13424881. The next prime is 13424899. The reversal of 13424896 is 69842431.

The square root of 13424896 is 3664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12503296 + 921600 = 3536^2 + 960^2 .

It is a super-2 number, since 2×134248962 = 360455665221632, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13424899) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 58510 + ... + 58738.

Almost surely, 213424896 is an apocalyptic number.

13424896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13424896 is the 3664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13424896

13424896 is an abundant number, since it is smaller than the sum of its proper divisors (13489985).

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

13424896 is an frugal number, since it uses more digits than its factorization.

13424896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 231 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The cubic root of 13424896 is about 237.6677802445.

The spelling of 13424896 in words is "thirteen million, four hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 229 256 458 916 1832 3664 7328 14656 29312 52441 58624 104882 209764 419528 839056 1678112 3356224 6712448 13424896