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13873944 = 2337269307
BaseRepresentation
bin110100111011…
…001100011000
3222002212110210
4310323030120
512022431234
61213211120
7225632550
oct64731430
928085423
1013873944
117916777
124790aa0
132b49c46
141bb2160
151340be9
hexd3b318

13873944 has 64 divisors (see below), whose sum is σ = 39916800. Its totient is φ = 3936384.

The previous prime is 13873939. The next prime is 13873961. The reversal of 13873944 is 44937831.

13873944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×138739443 (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 45039 + ... + 45345.

It is an arithmetic number, because the mean of its divisors is an integer number (623700).

Almost surely, 213873944 is an apocalyptic number.

13873944 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 13873944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19958400).

13873944 is an abundant number, since it is smaller than the sum of its proper divisors (26042856).

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

13873944 is a wasteful number, since it uses less digits than its factorization.

13873944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 588 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 13873944 is about 3724.7743555818. The cubic root of 13873944 is about 240.2886804037.

The spelling of 13873944 in words is "thirteen million, eight hundred seventy-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 269 307 538 614 807 921 1076 1228 1614 1842 1883 2149 2152 2456 3228 3684 3766 4298 5649 6447 6456 7368 7532 8596 11298 12894 15064 17192 22596 25788 45192 51576 82583 165166 247749 330332 495498 578081 660664 990996 1156162 1734243 1981992 2312324 3468486 4624648 6936972 13873944