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5753952 = 253219979
BaseRepresentation
bin10101111100110001100000
3101211022221100
4111330301200
52433111302
6323154400
766623241
oct25746140
911738840
105753952
113280036
121b15a00
131266009
14a9acc8
15789d1c
hex57cc60

5753952 has 36 divisors (see below), whose sum is σ = 16363620. Its totient is φ = 1917888.

The previous prime is 5753929. The next prime is 5753953. The reversal of 5753952 is 2593575.

5753952 is a `hidden beast` number, since 575 + 39 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5753953) 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 5 ways as a sum of consecutive naturals, for example, 9702 + ... + 10277.

It is an arithmetic number, because the mean of its divisors is an integer number (454545).

Almost surely, 25753952 is an apocalyptic number.

It is an amenable number.

5753952 is an abundant number, since it is smaller than the sum of its proper divisors (10609668).

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

5753952 is a wasteful number, since it uses less digits than its factorization.

5753952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19995 (or 19984 counting only the distinct ones).

The product of its digits is 47250, while the sum is 36.

The square root of 5753952 is about 2398.7396690762. The cubic root of 5753952 is about 179.1934282241.

The spelling of 5753952 in words is "five million, seven hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 19979 39958 59937 79916 119874 159832 179811 239748 319664 359622 479496 639328 719244 958992 1438488 1917984 2876976 5753952