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14026464 = 2532113431
BaseRepresentation
bin110101100000…
…011011100000
3222101121200200
4311200123200
512042321324
61220345200
7230136324
oct65403340
928347620
1014026464
117a10321
124845200
132ba14aa
141c11984
151370ec9
hexd606e0

14026464 has 72 divisors (see below), whose sum is σ = 40334112. Its totient is φ = 4623360.

The previous prime is 14026433. The next prime is 14026487. The reversal of 14026464 is 46462041.

14026464 is a `hidden beast` number, since 14 + 0 + 2 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32329 + ... + 32759.

It is an arithmetic number, because the mean of its divisors is an integer number (560196).

Almost surely, 214026464 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 14026464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20167056).

14026464 is an abundant number, since it is smaller than the sum of its proper divisors (26307648).

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

14026464 is a wasteful number, since it uses less digits than its factorization.

14026464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 14026464 is about 3745.1921179026. The cubic root of 14026464 is about 241.1659927468.

The spelling of 14026464 in words is "fourteen million, twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 113 144 226 288 339 431 452 678 862 904 1017 1293 1356 1724 1808 2034 2586 2712 3448 3616 3879 4068 5172 5424 6896 7758 8136 10344 10848 13792 15516 16272 20688 31032 32544 41376 48703 62064 97406 124128 146109 194812 292218 389624 438327 584436 779248 876654 1168872 1558496 1753308 2337744 3506616 4675488 7013232 14026464