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14964404 = 227313839
BaseRepresentation
bin111001000101…
…011010110100
31001011021022012
4321011122310
512312330104
61252423352
7241124000
oct71053264
931137265
1014964404
1184a0a84
125017b58
13313c3a0
141db7700
1514a8d6e
hexe456b4

14964404 has 48 divisors (see below), whose sum is σ = 32928000. Its totient is φ = 5912928.

The previous prime is 14964361. The next prime is 14964407. The reversal of 14964404 is 40446941.

14964404 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

14964404 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14964407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17417 + ... + 18255.

It is an arithmetic number, because the mean of its divisors is an integer number (686000).

Almost surely, 214964404 is an apocalyptic number.

14964404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14964404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16464000).

14964404 is an abundant number, since it is smaller than the sum of its proper divisors (17963596).

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

14964404 is a wasteful number, since it uses less digits than its factorization.

14964404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 14964404 is about 3868.3851928162. The cubic root of 14964404 is about 246.4259700589.

The spelling of 14964404 in words is "fourteen million, nine hundred sixty-four thousand, four hundred four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 343 364 637 686 839 1274 1372 1678 2548 3356 4459 5873 8918 10907 11746 17836 21814 23492 41111 43628 76349 82222 152698 164444 287777 305396 534443 575554 1068886 1151108 2137772 3741101 7482202 14964404