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5009256 = 233373313
BaseRepresentation
bin10011000110111101101000
3100102111102000
4103012331220
52240244011
6255211000
760402150
oct23067550
910374360
105009256
11291158a
121816a60
131065075
14945760
1568e356
hex4c6f68

5009256 has 64 divisors (see below), whose sum is σ = 15907200. Its totient is φ = 1430784.

The previous prime is 5009233. The next prime is 5009269. The reversal of 5009256 is 6529005.

5009256 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 145 + ... + 3168.

It is an arithmetic number, because the mean of its divisors is an integer number (248550).

Almost surely, 25009256 is an apocalyptic number.

5009256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5009256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7953600).

5009256 is an abundant number, since it is smaller than the sum of its proper divisors (10897944).

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

5009256 is a wasteful number, since it uses less digits than its factorization.

5009256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5009256 is about 2238.1367250461. The cubic root of 5009256 is about 171.1030465393.

The spelling of 5009256 in words is "five million, nine thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 3313 6626 9939 13252 19878 23191 26504 29817 39756 46382 59634 69573 79512 89451 92764 119268 139146 178902 185528 208719 238536 278292 357804 417438 556584 626157 715608 834876 1252314 1669752 2504628 5009256