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5005956 = 2231753463
BaseRepresentation
bin10011000110001010000100
3100102022212210
4103012022010
52240142311
6255143420
760356424
oct23061204
910368783
105005956
11290a05a
121814b70
131063707
14944484
1568d3a6
hex4c6284

5005956 has 48 divisors (see below), whose sum is σ = 12628224. Its totient is φ = 1537536.

The previous prime is 5005933. The next prime is 5005961. The reversal of 5005956 is 6595005.

It is a happy number.

It is an Ulam 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, 10581 + ... + 11043.

It is an arithmetic number, because the mean of its divisors is an integer number (263088).

Almost surely, 25005956 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 5005956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6314112).

5005956 is an abundant number, since it is smaller than the sum of its proper divisors (7622268).

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

5005956 is a wasteful number, since it uses less digits than its factorization.

5005956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 5005956 is about 2237.3993832126. The cubic root of 5005956 is about 171.0654651706.

The spelling of 5005956 in words is "five million, five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 159 204 212 318 463 636 901 926 1389 1802 1852 2703 2778 3604 5406 5556 7871 10812 15742 23613 24539 31484 47226 49078 73617 94452 98156 147234 294468 417163 834326 1251489 1668652 2502978 5005956