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5007856 = 24761733
BaseRepresentation
bin10011000110100111110000
3100102102111011
4103012213300
52240222411
6255200304
760365110
oct23064760
910372434
105007856
112910527
121816094
131064539
14945040
1568dc21
hex4c69f0

5007856 has 40 divisors (see below), whose sum is σ = 11285984. Its totient is φ = 2108160.

The previous prime is 5007853. The next prime is 5007881. The reversal of 5007856 is 6587005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5007851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6466 + ... + 7198.

Almost surely, 25007856 is an apocalyptic number.

5007856 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 5007856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642992).

5007856 is an abundant number, since it is smaller than the sum of its proper divisors (6278128).

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

5007856 is a wasteful number, since it uses less digits than its factorization.

5007856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 5007856 is about 2237.8239430304. The cubic root of 5007856 is about 171.0871049448.

The spelling of 5007856 in words is "five million, seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 244 427 488 733 854 976 1466 1708 2932 3416 5131 5864 6832 10262 11728 20524 41048 44713 82096 89426 178852 312991 357704 625982 715408 1251964 2503928 5007856