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256248006 = 23717233541
BaseRepresentation
bin11110100011000…
…00100011000110
3122212011202011220
433101200203012
51011044414011
641232141210
76231033510
oct1721404306
9585152156
10256248006
11121710a13
1271997806
134111c551
1426064bb0
151776a506
hexf4608c6

256248006 has 32 divisors (see below), whose sum is σ = 586215168. Its totient is φ = 73150560.

The previous prime is 256247993. The next prime is 256248043. The reversal of 256248006 is 600842652.

It is a Curzon number.

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, 70596 + ... + 74136.

It is an arithmetic number, because the mean of its divisors is an integer number (18319224).

Almost surely, 2256248006 is an apocalyptic number.

256248006 is an abundant number, since it is smaller than the sum of its proper divisors (329967162).

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

256248006 is a wasteful number, since it uses less digits than its factorization.

256248006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5276.

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 256248006 is about 16007.7483113647. The cubic root of 256248006 is about 635.1653988723.

The spelling of 256248006 in words is "two hundred fifty-six million, two hundred forty-eight thousand, six".

Divisors: 1 2 3 6 7 14 21 42 1723 3446 3541 5169 7082 10338 10623 12061 21246 24122 24787 36183 49574 72366 74361 148722 6101143 12202286 18303429 36606858 42708001 85416002 128124003 256248006