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5338272 = 253173271
BaseRepresentation
bin10100010111010010100000
3101001012201210
4110113102200
52331311042
6310230120
763242322
oct24272240
911035653
105338272
1130167a5
121955340
13114ba54
149cd612
15706a9c
hex5174a0

5338272 has 48 divisors (see below), whose sum is σ = 14841792. Its totient is φ = 1674240.

The previous prime is 5338243. The next prime is 5338273. The reversal of 5338272 is 2728335.

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

It is a d-powerful number, because it can be written as 55 + 39 + 314 + 8 + 213 + 7 + 219 .

It is not an unprimeable number, because it can be changed into a prime (5338273) 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, 4 + ... + 3267.

It is an arithmetic number, because the mean of its divisors is an integer number (309204).

Almost surely, 25338272 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 5338272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7420896).

5338272 is an abundant number, since it is smaller than the sum of its proper divisors (9503520).

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

5338272 is a wasteful number, since it uses less digits than its factorization.

5338272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3293 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 5338272 is about 2310.4700820396. The cubic root of 5338272 is about 174.7700053437.

The spelling of 5338272 in words is "five million, three hundred thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 3271 6542 9813 13084 19626 26168 39252 52336 55607 78504 104672 111214 157008 166821 222428 314016 333642 444856 667284 889712 1334568 1779424 2669136 5338272