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14893904 = 241723221
BaseRepresentation
bin111000110100…
…001101010000
31001000200121002
4320310031100
512303101104
61251121132
7240411314
oct70641520
931020532
1014893904
118453013
124ba31a8
13311627c
141d99b44
15149301e
hexe34350

14893904 has 30 divisors (see below), whose sum is σ = 30663774. Its totient is φ = 7006720.

The previous prime is 14893897. The next prime is 14893909. The reversal of 14893904 is 40939841.

It can be written as a sum of positive squares in 3 ways, for example, as 8133904 + 6760000 = 2852^2 + 2600^2 .

It is a super-2 number, since 2×148939042 = 443656752722432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14893909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3014 + ... + 6234.

Almost surely, 214893904 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 14893904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331887).

14893904 is an abundant number, since it is smaller than the sum of its proper divisors (15769870).

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

14893904 is a wasteful number, since it uses less digits than its factorization.

14893904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 14893904 is about 3859.2621056363. The cubic root of 14893904 is about 246.0383750475.

The spelling of 14893904 in words is "fourteen million, eight hundred ninety-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 3221 4624 6442 12884 25768 51536 54757 109514 219028 438056 876112 930869 1861738 3723476 7446952 14893904