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5337312 = 253531049
BaseRepresentation
bin10100010111000011100000
3101001011102020
4110113003200
52331243222
6310221440
763236451
oct24270340
911034366
105337312
113016002
121954880
13114b496
149cd128
1570665c
hex5170e0

5337312 has 48 divisors (see below), whose sum is σ = 14288400. Its totient is φ = 1743872.

The previous prime is 5337307. The next prime is 5337313. The reversal of 5337312 is 2137335.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 53 + 38 + 38 + 75 + 314 + 1 + 219 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5337313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4564 + ... + 5612.

It is an arithmetic number, because the mean of its divisors is an integer number (297675).

Almost surely, 25337312 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 5337312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7144200).

5337312 is an abundant number, since it is smaller than the sum of its proper divisors (8951088).

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

5337312 is a wasteful number, since it uses less digits than its factorization.

5337312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1107 counting only the distinct ones).

The product of its digits is 1890, while the sum is 24.

The square root of 5337312 is about 2310.2623227677. The cubic root of 5337312 is about 174.7595282166.

The spelling of 5337312 in words is "five million, three hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1049 1272 1696 2098 2544 3147 4196 5088 6294 8392 12588 16784 25176 33568 50352 55597 100704 111194 166791 222388 333582 444776 667164 889552 1334328 1779104 2668656 5337312