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13852896 = 2531131277
BaseRepresentation
bin110100110110…
…000011100000
3222001210121020
4310312003200
512021243041
61212525440
7225514311
oct64660340
928053536
1013852896
117901982
124780880
132b404a5
141ba8608
151339866
hexd360e0

13852896 has 48 divisors (see below), whose sum is σ = 36714384. Its totient is φ = 4573184.

The previous prime is 13852889. The next prime is 13852901. The reversal of 13852896 is 69825831.

13852896 = T231 + T232 + ... + T456.

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

It is a congruent number.

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, 10210 + ... + 11486.

It is an arithmetic number, because the mean of its divisors is an integer number (764883).

Almost surely, 213852896 is an apocalyptic number.

13852896 is a gapful number since it is divisible by the number (16) 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 13852896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18357192).

13852896 is an abundant number, since it is smaller than the sum of its proper divisors (22861488).

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

13852896 is a wasteful number, since it uses less digits than its factorization.

13852896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1395 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 13852896 is about 3721.9478771203. The cubic root of 13852896 is about 240.1671058437.

The spelling of 13852896 in words is "thirteen million, eight hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1277 1356 1808 2554 2712 3616 3831 5108 5424 7662 10216 10848 15324 20432 30648 40864 61296 122592 144301 288602 432903 577204 865806 1154408 1731612 2308816 3463224 4617632 6926448 13852896