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256074460 = 225431671783
BaseRepresentation
bin11110100001101…
…10001011011100
3122211211221010021
433100312023130
51011023340320
641224321524
76226411525
oct1720661334
9584757107
10256074460
11121602594
12719132a4
134108b565
142601b84c
1517733daa
hexf4362dc

256074460 has 48 divisors (see below), whose sum is σ = 553867776. Its totient is φ = 99392832.

The previous prime is 256074443. The next prime is 256074461. The reversal of 256074460 is 64470652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256074461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142729 + ... + 144511.

It is an arithmetic number, because the mean of its divisors is an integer number (11538912).

Almost surely, 2256074460 is an apocalyptic number.

256074460 is a gapful number since it is divisible by the number (20) 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 256074460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276933888).

256074460 is an abundant number, since it is smaller than the sum of its proper divisors (297793316).

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

256074460 is a wasteful number, since it uses less digits than its factorization.

256074460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 256074460 is about 16002.3267058262. The cubic root of 256074460 is about 635.0219762167.

The spelling of 256074460 in words is "two hundred fifty-six million, seventy-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 43 86 167 172 215 334 430 668 835 860 1670 1783 3340 3566 7132 7181 8915 14362 17830 28724 35660 35905 71810 76669 143620 153338 297761 306676 383345 595522 766690 1191044 1488805 1533380 2977610 5955220 12803723 25607446 51214892 64018615 128037230 256074460