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5715468 = 22331117283
BaseRepresentation
bin10101110011011000001100
3101202101011000
4111303120030
52430343333
6322300300
766403113
oct25633014
911671130
105715468
113254130
121ab7690
131251645
14a8ac7a
1577d713
hex57360c

5715468 has 96 divisors (see below), whose sum is σ = 17176320. Its totient is φ = 1624320.

The previous prime is 5715461. The next prime is 5715469. The reversal of 5715468 is 8645175.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (5715461) 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 31 ways as a sum of consecutive naturals, for example, 20055 + ... + 20337.

It is an arithmetic number, because the mean of its divisors is an integer number (178920).

Almost surely, 25715468 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 5715468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8588160).

5715468 is an abundant number, since it is smaller than the sum of its proper divisors (11460852).

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

5715468 is a wasteful number, since it uses less digits than its factorization.

5715468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 5715468 is about 2390.7044986782. The cubic root of 5715468 is about 178.7930360785.

The spelling of 5715468 in words is "five million, seven hundred fifteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 283 297 306 374 396 459 561 566 594 612 748 849 918 1122 1132 1188 1683 1698 1836 2244 2547 3113 3366 3396 4811 5049 5094 6226 6732 7641 9339 9622 10098 10188 12452 14433 15282 18678 19244 20196 28017 28866 30564 37356 43299 52921 56034 57732 84051 86598 105842 112068 129897 158763 168102 173196 211684 259794 317526 336204 476289 519588 635052 952578 1428867 1905156 2857734 5715468