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5337828 = 2232314783
BaseRepresentation
bin10100010111001011100100
3101001012010100
4110113023210
52331302303
6310224100
763241116
oct24271344
911035110
105337828
113016431
121955030
13114b7a2
149cd3b6
157068a3
hex5172e4

5337828 has 36 divisors (see below), whose sum is σ = 13931008. Its totient is φ = 1721520.

The previous prime is 5337811. The next prime is 5337853. The reversal of 5337828 is 8287335.

It is a tau number, because it is divible by the number of its divisors (36).

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 d-powerful number, because it can be written as 52 + 312 + 314 + 74 + 83 + 214 + 84 .

It is a junction number, because it is equal to n+sod(n) for n = 5337792 and 5337801.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1276 + ... + 3507.

Almost surely, 25337828 is an apocalyptic number.

It is an amenable number.

5337828 is an abundant number, since it is smaller than the sum of its proper divisors (8593180).

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

5337828 is a wasteful number, since it uses less digits than its factorization.

5337828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4824 (or 4819 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 5337828 is about 2310.3739956985. The cubic root of 5337828 is about 174.7651598286.

The spelling of 5337828 in words is "five million, three hundred thirty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 4783 9566 14349 19132 28698 43047 57396 86094 148273 172188 296546 444819 593092 889638 1334457 1779276 2668914 5337828