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256381916 = 22721498779
BaseRepresentation
bin11110100100000…
…01001111011100
3122212102112212112
433102001033130
51011113210131
641235053152
76232132100
oct1722011734
9585375775
10256381916
111217a258a
1271a411b8
134116849b
142609b900
151779502b
hexf4813dc

256381916 has 36 divisors (see below), whose sum is σ = 525483000. Its totient is φ = 109128096.

The previous prime is 256381903. The next prime is 256381921. The reversal of 256381916 is 619183652.

256381916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24815 + ... + 33593.

It is an arithmetic number, because the mean of its divisors is an integer number (14596750).

Almost surely, 2256381916 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 256381916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262741500).

256381916 is an abundant number, since it is smaller than the sum of its proper divisors (269101084).

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

256381916 is a wasteful number, since it uses less digits than its factorization.

256381916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8946 (or 8937 counting only the distinct ones).

The product of its digits is 77760, while the sum is 41.

The square root of 256381916 is about 16011.9304270285. The cubic root of 256381916 is about 635.2760211143.

The spelling of 256381916 in words is "two hundred fifty-six million, three hundred eighty-one thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 149 196 298 596 1043 2086 4172 7301 8779 14602 17558 29204 35116 61453 122906 245812 430171 860342 1308071 1720684 2616142 5232284 9156497 18312994 36625988 64095479 128190958 256381916