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13613472 = 253247269
BaseRepresentation
bin110011111011…
…100110100000
3221121122011200
4303323212200
511441112342
61203441200
7223466265
oct63734640
927548150
1013613472
117759004
124686200
132a88512
141b4526c
1512dd94c
hexcfb9a0

13613472 has 36 divisors (see below), whose sum is σ = 38714130. Its totient is φ = 4537728.

The previous prime is 13613461. The next prime is 13613489. The reversal of 13613472 is 27431631.

13613472 is a `hidden beast` number, since 1 + 3 + 613 + 47 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13571856 + 41616 = 3684^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23347 + ... + 23922.

Almost surely, 213613472 is an apocalyptic number.

13613472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13613472 is an abundant number, since it is smaller than the sum of its proper divisors (25100658).

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

13613472 is a wasteful number, since it uses less digits than its factorization.

13613472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47285 (or 47274 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 13613472 is about 3689.6438852551. The cubic root of 13613472 is about 238.7754290687.

The spelling of 13613472 in words is "thirteen million, six hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 47269 94538 141807 189076 283614 378152 425421 567228 756304 850842 1134456 1512608 1701684 2268912 3403368 4537824 6806736 13613472