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13238472 = 23313151281
BaseRepresentation
bin110010100000…
…000011001000
3220220120202210
4302200003020
511342112342
61151425120
7220345062
oct62400310
926816683
1013238472
117522295
1245251a0
132986920
141a88732
15126779c
hexca00c8

13238472 has 64 divisors (see below), whose sum is σ = 36005760. Its totient is φ = 4032000.

The previous prime is 13238441. The next prime is 13238473. The reversal of 13238472 is 27483231.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13238473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46972 + ... + 47252.

It is an arithmetic number, because the mean of its divisors is an integer number (562590).

Almost surely, 213238472 is an apocalyptic number.

13238472 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 13238472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18002880).

13238472 is an abundant number, since it is smaller than the sum of its proper divisors (22767288).

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

13238472 is a wasteful number, since it uses less digits than its factorization.

13238472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 13238472 is about 3638.4711074846. The cubic root of 13238472 is about 236.5625286290.

The spelling of 13238472 in words is "thirteen million, two hundred thirty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 151 156 281 302 312 453 562 604 843 906 1124 1208 1686 1812 1963 2248 3372 3624 3653 3926 5889 6744 7306 7852 10959 11778 14612 15704 21918 23556 29224 42431 43836 47112 84862 87672 127293 169724 254586 339448 509172 551603 1018344 1103206 1654809 2206412 3309618 4412824 6619236 13238472