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5338008 = 2333131901
BaseRepresentation
bin10100010111001110011000
3101001012101000
4110113032120
52331304013
6310225000
763241464
oct24271630
911035330
105338008
113016585
121955160
13114b8b0
149cd4a4
15706973
hex517398

5338008 has 64 divisors (see below), whose sum is σ = 15976800. Its totient is φ = 1641600.

The previous prime is 5337991. The next prime is 5338009. The reversal of 5338008 is 8008335.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5338009) 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, 1858 + ... + 3758.

Almost surely, 25338008 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 5338008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988400).

5338008 is an abundant number, since it is smaller than the sum of its proper divisors (10638792).

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

5338008 is a wasteful number, since it uses less digits than its factorization.

5338008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5338008 is about 2310.4129501022. The cubic root of 5338008 is about 174.7671242590.

The spelling of 5338008 in words is "five million, three hundred thirty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 1901 2808 3802 5703 7604 11406 15208 17109 22812 24713 34218 45624 49426 51327 68436 74139 98852 102654 136872 148278 197704 205308 222417 296556 410616 444834 593112 667251 889668 1334502 1779336 2669004 5338008