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11813952 = 263371663
BaseRepresentation
bin101101000100…
…010001000000
3211020012200210
4231010101000
511011021302
61101114120
7202263003
oct55042100
924205623
1011813952
116739aa7
123b58940
1325a8407
1417d753a
15108566c
hexb44440

11813952 has 56 divisors (see below), whose sum is σ = 32121856. Its totient is φ = 3829248.

The previous prime is 11813947. The next prime is 11813969. The reversal of 11813952 is 25931811.

It is a nialpdrome in base 16.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6273 + ... + 7935.

Almost surely, 211813952 is an apocalyptic number.

11813952 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 11813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16060928).

11813952 is an abundant number, since it is smaller than the sum of its proper divisors (20307904).

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

11813952 is a wasteful number, since it uses less digits than its factorization.

11813952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1705 counting only the distinct ones).

The product of its digits is 2160, while the sum is 30.

The square root of 11813952 is about 3437.1429996437. The cubic root of 11813952 is about 227.7535039945.

The spelling of 11813952 in words is "eleven million, eight hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1663 1776 2368 3326 3552 4989 6652 7104 9978 13304 19956 26608 39912 53216 61531 79824 106432 123062 159648 184593 246124 319296 369186 492248 738372 984496 1476744 1968992 2953488 3937984 5906976 11813952