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5590272 = 28329251
BaseRepresentation
bin10101010100110100000000
3101112000102010
4111110310000
52412342042
6315452520
765342112
oct25246400
911460363
105590272
113179066
121a57140
13120966c
14a573b2
1575659c
hex554d00

5590272 has 72 divisors (see below), whose sum is σ = 15452640. Its totient is φ = 1792000.

The previous prime is 5590271. The next prime is 5590303. The reversal of 5590272 is 2720955.

It is a happy number.

It is a super-2 number, since 2×55902722 = 62502282067968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5590271) 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, 22147 + ... + 22397.

It is an arithmetic number, because the mean of its divisors is an integer number (214620).

Almost surely, 25590272 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 5590272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7726320).

5590272 is an abundant number, since it is smaller than the sum of its proper divisors (9862368).

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

5590272 is a wasteful number, since it uses less digits than its factorization.

5590272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 5590272 is about 2364.3756046787. The cubic root of 5590272 is about 177.4779130092.

The spelling of 5590272 in words is "five million, five hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 251 256 348 384 464 502 696 753 768 928 1004 1392 1506 1856 2008 2784 3012 3712 4016 5568 6024 7279 7424 8032 11136 12048 14558 16064 21837 22272 24096 29116 32128 43674 48192 58232 64256 87348 96384 116464 174696 192768 232928 349392 465856 698784 931712 1397568 1863424 2795136 5590272