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5768424 = 2332113709
BaseRepresentation
bin10110000000010011101000
3101212001210100
4112000103220
52434042144
6323345400
7100013364
oct26002350
911761710
105768424
11328a9a2
121b22260
13126c78c
14aa22a4
1578e269
hex5804e8

5768424 has 48 divisors (see below), whose sum is σ = 15783300. Its totient is φ = 1903104.

The previous prime is 5768401. The next prime is 5768443. The reversal of 5768424 is 4248675.

5768424 is a `hidden beast` number, since 576 + 84 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4284900 + 1483524 = 2070^2 + 1218^2 .

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

It is a d-powerful number, because it can be written as 55 + 78 + 63 + 8 + 42 + 2 + 44 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7782 + ... + 8490.

Almost surely, 25768424 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 5768424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7891650).

5768424 is an abundant number, since it is smaller than the sum of its proper divisors (10014876).

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

5768424 is a wasteful number, since it uses less digits than its factorization.

5768424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 827 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 5768424 is about 2401.7543587969. The cubic root of 5768424 is about 179.3435346881.

The spelling of 5768424 in words is "five million, seven hundred sixty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 709 904 1017 1356 1418 2034 2127 2712 2836 4068 4254 5672 6381 8136 8508 12762 17016 25524 51048 80117 160234 240351 320468 480702 640936 721053 961404 1442106 1922808 2884212 5768424