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14452164 = 22321572557
BaseRepresentation
bin110111001000…
…010111000100
31000012020122100
4313020113010
512144432124
61233432100
7233561406
oct67102704
930166570
1014452164
118181141
124a0b630
132cc019c
141cc2b76
1514071c9
hexdc85c4

14452164 has 36 divisors (see below), whose sum is σ = 36778924. Its totient is φ = 4784832.

The previous prime is 14452157. The next prime is 14452177. The reversal of 14452164 is 46125441.

14452164 is a `hidden beast` number, since 1 + 445 + 216 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5198400 + 9253764 = 2280^2 + 3042^2 .

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4374 + ... + 6930.

Almost surely, 214452164 is an apocalyptic number.

It is an amenable number.

14452164 is an abundant number, since it is smaller than the sum of its proper divisors (22326760).

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

14452164 is a wasteful number, since it uses less digits than its factorization.

14452164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2719 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 14452164 is about 3801.6001893939. The cubic root of 14452164 is about 243.5814961638.

The spelling of 14452164 in words is "fourteen million, four hundred fifty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2557 2826 5114 5652 7671 10228 15342 23013 30684 46026 92052 401449 802898 1204347 1605796 2408694 3613041 4817388 7226082 14452164