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13258952 = 237594013
BaseRepresentation
bin110010100101…
…000011001000
3220221121212022
4302211003020
511343241302
61152104012
7220461560
oct62450310
926847768
1013258952
117536713
124535008
132993045
141a91da0
15126d8a2
hexca50c8

13258952 has 32 divisors (see below), whose sum is σ = 28900800. Its totient is φ = 5584704.

The previous prime is 13258951. The next prime is 13258961. The reversal of 13258952 is 25985231.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13258951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1298 + ... + 5310.

It is an arithmetic number, because the mean of its divisors is an integer number (903150).

Almost surely, 213258952 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 13258952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14450400).

13258952 is an abundant number, since it is smaller than the sum of its proper divisors (15641848).

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

13258952 is a wasteful number, since it uses less digits than its factorization.

13258952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085 (or 4081 counting only the distinct ones).

The product of its digits is 21600, while the sum is 35.

The square root of 13258952 is about 3641.2843887837. The cubic root of 13258952 is about 236.6844536875.

The spelling of 13258952 in words is "thirteen million, two hundred fifty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 413 472 826 1652 3304 4013 8026 16052 28091 32104 56182 112364 224728 236767 473534 947068 1657369 1894136 3314738 6629476 13258952