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5012256 = 253109479
BaseRepresentation
bin10011000111101100100000
3100102122112010
4103013230200
52240343011
6255232520
760413664
oct23075440
910378463
105012256
112913867
121818740
131066542
149468a4
156901a6
hex4c7b20

5012256 has 48 divisors (see below), whose sum is σ = 13305600. Its totient is φ = 1651968.

The previous prime is 5012251. The next prime is 5012261. The reversal of 5012256 is 6522105.

5012256 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5012251) and next prime (5012261).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (5012251) 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, 10225 + ... + 10703.

It is an arithmetic number, because the mean of its divisors is an integer number (277200).

Almost surely, 25012256 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 5012256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652800).

5012256 is an abundant number, since it is smaller than the sum of its proper divisors (8293344).

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

5012256 is a wasteful number, since it uses less digits than its factorization.

5012256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5012256 is about 2238.8068250745. The cubic root of 5012256 is about 171.1371970999.

It can be divided in two parts, 501 and 2256, that multiplied together give a triangular number (1130256 = T1503).

The spelling of 5012256 in words is "five million, twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 479 654 872 958 1308 1437 1744 1916 2616 2874 3488 3832 5232 5748 7664 10464 11496 15328 22992 45984 52211 104422 156633 208844 313266 417688 626532 835376 1253064 1670752 2506128 5012256