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13521952 = 253143317
BaseRepresentation
bin110011100101…
…010000100000
3221102222122001
4303211100200
511430200302
61201453344
7222635413
oct63452040
927388561
1013521952
1176a6274
124641254
132a55972
141b1db7a
1512c1787
hexce5420

13521952 has 48 divisors (see below), whose sum is σ = 28207872. Its totient is φ = 6370560.

The previous prime is 13521941. The next prime is 13521961. The reversal of 13521952 is 25912531.

It is a self number, because there is not a number n which added to its sum of digits gives 13521952.

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, 42498 + ... + 42814.

It is an arithmetic number, because the mean of its divisors is an integer number (587664).

Almost surely, 213521952 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 13521952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14103936).

13521952 is an abundant number, since it is smaller than the sum of its proper divisors (14685920).

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

13521952 is a wasteful number, since it uses less digits than its factorization.

13521952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its digits is 2700, while the sum is 28.

The square root of 13521952 is about 3677.2206895970. The cubic root of 13521952 is about 238.2391494886.

The spelling of 13521952 in words is "thirteen million, five hundred twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 43 62 86 124 172 248 317 344 496 634 688 992 1268 1333 1376 2536 2666 5072 5332 9827 10144 10664 13631 19654 21328 27262 39308 42656 54524 78616 109048 157232 218096 314464 422561 436192 845122 1690244 3380488 6760976 13521952