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14232864 = 253374007
BaseRepresentation
bin110110010010…
…110100100000
3222210002211010
4312102310200
512120422424
61225020520
7231656142
oct66226440
928702733
1014232864
1180413a8
124924740
132c44419
141c66c92
1513b2229
hexd92d20

14232864 has 48 divisors (see below), whose sum is σ = 38380608. Its totient is φ = 4614912.

The previous prime is 14232853. The next prime is 14232887. The reversal of 14232864 is 46823241.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1549 + ... + 5555.

It is an arithmetic number, because the mean of its divisors is an integer number (799596).

Almost surely, 214232864 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 14232864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19190304).

14232864 is an abundant number, since it is smaller than the sum of its proper divisors (24147744).

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

14232864 is a wasteful number, since it uses less digits than its factorization.

14232864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4049 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 14232864 is about 3772.6468162286. The cubic root of 14232864 is about 242.3431600000.

The spelling of 14232864 in words is "fourteen million, two hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 4007 8014 12021 16028 24042 32056 48084 64112 96168 128224 148259 192336 296518 384672 444777 593036 889554 1186072 1779108 2372144 3558216 4744288 7116432 14232864