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5753916 = 223474359
BaseRepresentation
bin10101111100110000111100
3101211022220000
4111330300330
52433111131
6323154300
766623160
oct25746074
911738800
105753916
113280003
121b15990
131265cac
14a9aca0
15789ce6
hex57cc3c

5753916 has 120 divisors (see below), whose sum is σ = 17888640. Its totient is φ = 1578528.

The previous prime is 5753897. The next prime is 5753927. The reversal of 5753916 is 6193575.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97495 + ... + 97553.

It is an arithmetic number, because the mean of its divisors is an integer number (149072).

Almost surely, 25753916 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 5753916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8944320).

5753916 is an abundant number, since it is smaller than the sum of its proper divisors (12134724).

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

5753916 is a wasteful number, since it uses less digits than its factorization.

5753916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its digits is 28350, while the sum is 36.

The square root of 5753916 is about 2398.7321651239. The cubic root of 5753916 is about 179.1930545113.

The spelling of 5753916 in words is "five million, seven hundred fifty-three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 59 63 81 84 86 108 118 126 129 162 172 177 189 236 252 258 301 324 354 378 387 413 516 531 567 602 708 756 774 826 903 1062 1134 1161 1204 1239 1548 1593 1652 1806 2124 2268 2322 2478 2537 2709 3186 3483 3612 3717 4644 4779 4956 5074 5418 6372 6966 7434 7611 8127 9558 10148 10836 11151 13932 14868 15222 16254 17759 19116 22302 22833 24381 30444 32508 33453 35518 44604 45666 48762 53277 66906 68499 71036 91332 97524 106554 133812 136998 159831 205497 213108 273996 319662 410994 479493 639324 821988 958986 1438479 1917972 2876958 5753916