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5336496 = 2433111123
BaseRepresentation
bin10100010110110110110000
3101001010022000
4110112312300
52331231441
6310214000
763234204
oct24266660
911033260
105336496
113015430
121954300
13114acb9
149ccb04
157062b6
hex516db0

5336496 has 80 divisors (see below), whose sum is σ = 16725120. Its totient is φ = 1615680.

The previous prime is 5336489. The next prime is 5336497. The reversal of 5336496 is 6946335.

5336496 is a `hidden beast` number, since 5 + 3 + 3 + 649 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5336496.

It is not an unprimeable number, because it can be changed into a prime (5336497) 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 15 ways as a sum of consecutive naturals, for example, 4191 + ... + 5313.

It is an arithmetic number, because the mean of its divisors is an integer number (209064).

Almost surely, 25336496 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 5336496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8362560).

5336496 is an abundant number, since it is smaller than the sum of its proper divisors (11388624).

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

5336496 is a wasteful number, since it uses less digits than its factorization.

5336496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1139 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 5336496 is about 2310.0857126955. The cubic root of 5336496 is about 174.7506216707.

It can be divided in two parts, 5336 and 496, that added together give a cube (5832 = 183).

The spelling of 5336496 in words is "five million, three hundred thirty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1123 1188 1584 2246 2376 3369 4492 4752 6738 8984 10107 12353 13476 17968 20214 24706 26952 30321 37059 40428 49412 53904 60642 74118 80856 98824 111177 121284 148236 161712 197648 222354 242568 296472 333531 444708 485136 592944 667062 889416 1334124 1778832 2668248 5336496