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13226952 = 2331721907
BaseRepresentation
bin110010011101…
…001111001000
3220212222222010
4302131033020
511341230302
61151255520
7220266354
oct62351710
926788863
1013226952
117514672
12451a5a0
1329815cb
141a84464
15126416c
hexc9d3c8

13226952 has 48 divisors (see below), whose sum is σ = 35145360. Its totient is φ = 4147456.

The previous prime is 13226921. The next prime is 13227023. The reversal of 13226952 is 25962231.

13226952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) 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 11 ways as a sum of consecutive naturals, for example, 5983 + ... + 7889.

It is an arithmetic number, because the mean of its divisors is an integer number (732195).

Almost surely, 213226952 is an apocalyptic number.

13226952 is a gapful number since it is divisible by the number (12) 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 13226952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17572680).

13226952 is an abundant number, since it is smaller than the sum of its proper divisors (21918408).

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

13226952 is a wasteful number, since it uses less digits than its factorization.

13226952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1929 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 13226952 is about 3636.8876804213. The cubic root of 13226952 is about 236.4938905165.

The spelling of 13226952 in words is "thirteen million, two hundred twenty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1734 1907 2312 3468 3814 5721 6936 7628 11442 15256 22884 32419 45768 64838 97257 129676 194514 259352 389028 551123 778056 1102246 1653369 2204492 3306738 4408984 6613476 13226952