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23286952 = 2313312233
BaseRepresentation
bin101100011010…
…1010010101000
31121211002200201
41120311102220
521430140302
62151041544
7401635663
oct130652250
947732621
1023286952
1112165917
1279702b4
134a94580
1431426da
15209ec87
hex16354a8

23286952 has 48 divisors (see below), whose sum is σ = 48796020. Its totient is φ = 10356480.

The previous prime is 23286943. The next prime is 23286959. The reversal of 23286952 is 25968232.

It can be written as a sum of positive squares in 2 ways, for example, as 20484676 + 2802276 = 4526^2 + 1674^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23286959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99828 + ... + 100060.

Almost surely, 223286952 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 23286952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24398010).

23286952 is an abundant number, since it is smaller than the sum of its proper divisors (25509068).

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

23286952 is a wasteful number, since it uses less digits than its factorization.

23286952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 279 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 23286952 is about 4825.6556031279. The cubic root of 23286952 is about 285.5644992973.

The spelling of 23286952 in words is "twenty-three million, two hundred eighty-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 233 248 403 466 806 932 961 1612 1864 1922 3029 3224 3844 6058 7223 7688 12116 12493 14446 24232 24986 28892 49972 57784 93899 99944 187798 223913 375596 447826 751192 895652 1791304 2910869 5821738 11643476 23286952