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5290584 = 2331331547
BaseRepresentation
bin10100001011101001011000
3100221210022120
4110023221120
52323244314
6305221240
762653305
oct24135130
910853276
105290584
112a93992
121931820
131133130
149ba0ac
156e78a9
hex50ba58

5290584 has 64 divisors (see below), whose sum is σ = 14730240. Its totient is φ = 1572480.

The previous prime is 5290577. The next prime is 5290601. The reversal of 5290584 is 4850925.

It is a super-2 number, since 2×52905842 = 55980558122112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9399 + ... + 9945.

It is an arithmetic number, because the mean of its divisors is an integer number (230160).

Almost surely, 25290584 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 5290584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7365120).

5290584 is an abundant number, since it is smaller than the sum of its proper divisors (9439656).

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

5290584 is a wasteful number, since it uses less digits than its factorization.

5290584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 5290584 is about 2300.1269530180. The cubic root of 5290584 is about 174.2480278377.

The spelling of 5290584 in words is "five million, two hundred ninety thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 547 744 806 1094 1209 1612 1641 2188 2418 3224 3282 4376 4836 6564 7111 9672 13128 14222 16957 21333 28444 33914 42666 50871 56888 67828 85332 101742 135656 170664 203484 220441 406968 440882 661323 881764 1322646 1763528 2645292 5290584