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14475264 = 21331931
BaseRepresentation
bin110111001110…
…000000000000
31000020102022220
4313032000000
512201202024
61234131040
7234015636
oct67160000
930212286
1014475264
118197531
124a20a80
132cca85b
141ccb356
15140de79
hexdce000

14475264 has 112 divisors (see below), whose sum is σ = 41940480. Its totient is φ = 4423680.

The previous prime is 14475259. The next prime is 14475269. The reversal of 14475264 is 46257441.

It is an interprime number because it is at equal distance from previous prime (14475259) and next prime (14475269).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14475269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466929 + ... + 466959.

Almost surely, 214475264 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 14475264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20970240).

14475264 is an abundant number, since it is smaller than the sum of its proper divisors (27465216).

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

14475264 is an equidigital number, since it uses as much as digits as its factorization.

14475264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 55 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 14475264 is about 3804.6371706117. The cubic root of 14475264 is about 243.7112053972.

The spelling of 14475264 in words is "fourteen million, four hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 128 152 186 192 228 248 256 304 372 384 456 496 512 589 608 744 768 912 992 1024 1178 1216 1488 1536 1767 1824 1984 2048 2356 2432 2976 3072 3534 3648 3968 4096 4712 4864 5952 6144 7068 7296 7936 8192 9424 9728 11904 12288 14136 14592 15872 18848 19456 23808 24576 28272 29184 31744 37696 38912 47616 56544 58368 63488 75392 77824 95232 113088 116736 126976 150784 155648 190464 226176 233472 253952 301568 380928 452352 466944 603136 761856 904704 1206272 1809408 2412544 3618816 4825088 7237632 14475264