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13522496 = 261316253
BaseRepresentation
bin110011100101…
…011001000000
3221110000101012
4303211121000
511430204441
61201500052
7222640121
oct63453100
927400335
1013522496
1176a6719
124641628
132a55ca0
141b20048
1512c19eb
hexce5640

13522496 has 28 divisors (see below), whose sum is σ = 28899612. Its totient is φ = 6240768.

The previous prime is 13522493. The next prime is 13522499. The reversal of 13522496 is 69422531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13522493) and next prime (13522499).

It can be written as a sum of positive squares in 2 ways, for example, as 5456896 + 8065600 = 2336^2 + 2840^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (13522493) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7295 + ... + 8958.

It is an arithmetic number, because the mean of its divisors is an integer number (1032129).

Almost surely, 213522496 is an apocalyptic number.

13522496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13522496 is an abundant number, since it is smaller than the sum of its proper divisors (15377116).

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

13522496 is a wasteful number, since it uses less digits than its factorization.

13522496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16278 (or 16268 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 13522496 is about 3677.2946577613. The cubic root of 13522496 is about 238.2423443024.

The spelling of 13522496 in words is "thirteen million, five hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 16253 32506 65012 130024 211289 260048 422578 520096 845156 1040192 1690312 3380624 6761248 13522496