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14445864 = 23362477
BaseRepresentation
bin110111000110…
…110100101000
31000011221000000
4313012310220
512144231424
61233343000
7233534136
oct67066450
930157000
1014445864
118177434
124a07a60
132cba364
141cc0756
1514053c9
hexdc6d28

14445864 has 56 divisors (see below), whose sum is σ = 40626810. Its totient is φ = 4813344.

The previous prime is 14445859. The next prime is 14445883. The reversal of 14445864 is 46854441.

It is a happy number.

14445864 is a `hidden beast` number, since 144 + 458 + 64 = 666.

14445864 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12320100 + 2125764 = 3510^2 + 1458^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 4594 + ... + 7070.

Almost surely, 214445864 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 14445864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20313405).

14445864 is an abundant number, since it is smaller than the sum of its proper divisors (26180946).

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

14445864 is an equidigital number, since it uses as much as digits as its factorization.

14445864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2482 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 14445864 is about 3800.7715006298. The cubic root of 14445864 is about 243.5460969331.

The spelling of 14445864 in words is "fourteen million, four hundred forty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2477 2916 4954 5832 7431 9908 14862 19816 22293 29724 44586 59448 66879 89172 133758 178344 200637 267516 401274 535032 601911 802548 1203822 1605096 1805733 2407644 3611466 4815288 7222932 14445864