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5290368 = 27323599
BaseRepresentation
bin10100001011100110000000
3100221210000120
4110023212000
52323242433
6305220240
762652546
oct24134600
910853016
105290368
112a93806
121931680
131132cc5
149b9d96
156e77b3
hex50b980

5290368 has 64 divisors (see below), whose sum is σ = 14688000. Its totient is φ = 1683968.

The previous prime is 5290361. The next prime is 5290381. The reversal of 5290368 is 8630925.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5290361) 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, 8533 + ... + 9131.

It is an arithmetic number, because the mean of its divisors is an integer number (229500).

Almost surely, 25290368 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 5290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344000).

5290368 is an abundant number, since it is smaller than the sum of its proper divisors (9397632).

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

5290368 is a wasteful number, since it uses less digits than its factorization.

5290368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 5290368 is about 2300.0799986087. The cubic root of 5290368 is about 174.2456564495.

The spelling of 5290368 in words is "five million, two hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 599 736 1104 1198 1472 1797 2208 2396 2944 3594 4416 4792 7188 8832 9584 13777 14376 19168 27554 28752 38336 41331 55108 57504 76672 82662 110216 115008 165324 220432 230016 330648 440864 661296 881728 1322592 1763456 2645184 5290368