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11311952 = 242359521
BaseRepresentation
bin101011001001…
…101101010000
3210021201002012
4223021231100
510343440302
61042242052
7165102311
oct53115520
923251065
1011311952
116426923
123956328
132460a82
141706608
15ed6a52
hexac9b50

11311952 has 40 divisors (see below), whose sum is σ = 23302080. Its totient is φ = 5308160.

The previous prime is 11311939. The next prime is 11311961. The reversal of 11311952 is 25911311.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21452 + ... + 21972.

It is an arithmetic number, because the mean of its divisors is an integer number (582552).

Almost surely, 211311952 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 11311952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11651040).

11311952 is an abundant number, since it is smaller than the sum of its proper divisors (11990128).

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

11311952 is a wasteful number, since it uses less digits than its factorization.

11311952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its digits is 270, while the sum is 23.

The square root of 11311952 is about 3363.3245457434. The cubic root of 11311952 is about 224.4807912759.

The spelling of 11311952 in words is "eleven million, three hundred eleven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 23 46 59 92 118 184 236 368 472 521 944 1042 1357 2084 2714 4168 5428 8336 10856 11983 21712 23966 30739 47932 61478 95864 122956 191728 245912 491824 706997 1413994 2827988 5655976 11311952