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5637252 = 2232997167
BaseRepresentation
bin10101100000010010000100
3101121101212010
4111200102010
52420343002
6320454220
765626065
oct25402204
911541763
105637252
113200395
121a7a370
131224b6a
14a6a56c
1576546c
hex560484

5637252 has 48 divisors (see below), whose sum is σ = 13829760. Its totient is φ = 1784832.

The previous prime is 5637221. The next prime is 5637263. The reversal of 5637252 is 2527365.

It is a super-2 number, since 2×56372522 = 63557220223008, which contains 22 as substring.

It is a d-powerful number, because it can be written as 55 + 62 + 35 + 73 + 220 + 58 + 222 .

Its product of digits (12600) is a multiple of the sum of its prime factors (300).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33673 + ... + 33839.

It is an arithmetic number, because the mean of its divisors is an integer number (288120).

Almost surely, 25637252 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 5637252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6914880).

5637252 is an abundant number, since it is smaller than the sum of its proper divisors (8192508).

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

5637252 is a wasteful number, since it uses less digits than its factorization.

5637252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 298 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 5637252 is about 2374.2897885473. The cubic root of 5637252 is about 177.9736947198.

The spelling of 5637252 in words is "five million, six hundred thirty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 58 87 97 116 167 174 194 291 334 348 388 501 582 668 1002 1164 2004 2813 4843 5626 8439 9686 11252 14529 16199 16878 19372 29058 32398 33756 48597 58116 64796 97194 194388 469771 939542 1409313 1879084 2818626 5637252