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256534830 = 23352573697
BaseRepresentation
bin11110100101001…
…10100100101110
3122212201022122000
433102212210232
51011133103310
641242233130
76233336646
oct1722464456
9585638560
10256534830
11121897462
1271ab57a6
13411bcc76
14260db526
15177c54c0
hexf4a692e

256534830 has 64 divisors (see below), whose sum is σ = 686940480. Its totient is φ = 68124672.

The previous prime is 256534819. The next prime is 256534843. The reversal of 256534830 is 38435652.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67542 + ... + 71238.

It is an arithmetic number, because the mean of its divisors is an integer number (10733445).

Almost surely, 2256534830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256534830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343470240).

256534830 is an abundant number, since it is smaller than the sum of its proper divisors (430405650).

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

256534830 is a wasteful number, since it uses less digits than its factorization.

256534830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 256534830 is about 16016.7047172632. The cubic root of 256534830 is about 635.4022953494.

The spelling of 256534830 in words is "two hundred fifty-six million, five hundred thirty-four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 257 270 514 771 1285 1542 2313 2570 3697 3855 4626 6939 7394 7710 11091 11565 13878 18485 22182 23130 33273 34695 36970 55455 66546 69390 99819 110910 166365 199638 332730 499095 950129 998190 1900258 2850387 4750645 5700774 8551161 9501290 14251935 17102322 25653483 28503870 42755805 51306966 85511610 128267415 256534830