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256679406 = 232293131571
BaseRepresentation
bin11110100110010…
…01110111101110
3122212222122221200
433103021313232
51011202220111
641245310330
76234511314
oct1723116756
9585878850
10256679406
11121986045
1271b653a6
1341240a09
14261380b4
1517803256
hexf4c9dee

256679406 has 48 divisors (see below), whose sum is σ = 577521360. Its totient is φ = 82293120.

The previous prime is 256679389. The next prime is 256679431. The reversal of 256679406 is 604976652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162601 + ... + 164171.

It is an arithmetic number, because the mean of its divisors is an integer number (12031695).

Almost surely, 2256679406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256679406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288760680).

256679406 is an abundant number, since it is smaller than the sum of its proper divisors (320841954).

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

256679406 is a wasteful number, since it uses less digits than its factorization.

256679406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 256679406 is about 16021.2173694760. The cubic root of 256679406 is about 635.5216380397.

The spelling of 256679406 in words is "two hundred fifty-six million, six hundred seventy-nine thousand, four hundred six".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 313 522 626 939 1571 1878 2817 3142 4713 5634 9077 9426 14139 18154 27231 28278 45559 54462 81693 91118 136677 163386 273354 410031 491723 820062 983446 1475169 2950338 4425507 8851014 14259967 28519934 42779901 85559802 128339703 256679406