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14938404 = 22313313089
BaseRepresentation
bin111000111111…
…000100100100
31001002221122020
4320333010210
512311012104
61252103140
7240655125
oct70770444
931087566
1014938404
118483498
125004ab0
1331305c0
141dac04c
1514a12d9
hexe3f124

14938404 has 48 divisors (see below), whose sum is σ = 38760960. Its totient is φ = 4446720.

The previous prime is 14938397. The next prime is 14938411. The reversal of 14938404 is 40483941.

It is a happy number.

14938404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14938397) and next prime (14938411).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3292 + ... + 6380.

It is an arithmetic number, because the mean of its divisors is an integer number (807520).

Almost surely, 214938404 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 14938404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19380480).

14938404 is an abundant number, since it is smaller than the sum of its proper divisors (23822556).

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

14938404 is a wasteful number, since it uses less digits than its factorization.

14938404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 14938404 is about 3865.0231564636. The cubic root of 14938404 is about 246.2831691945.

The spelling of 14938404 in words is "fourteen million, nine hundred thirty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1612 2418 3089 4836 6178 9267 12356 18534 37068 40157 80314 95759 120471 160628 191518 240942 287277 383036 481884 574554 1149108 1244867 2489734 3734601 4979468 7469202 14938404