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256625020 = 225196191091
BaseRepresentation
bin11110100101111…
…00100101111100
3122212212220100101
433102330211330
51011144000040
641244210444
76234163621
oct1722744574
9585786311
10256625020
111219491a3
1271b39a24
1341222032
1426122348
15177e209a
hexf4bc97c

256625020 has 48 divisors (see below), whose sum is σ = 568713600. Its totient is φ = 97001280.

The previous prime is 256625011. The next prime is 256625021. The reversal of 256625020 is 20526652.

It is a self number, because there is not a number n which added to its sum of digits gives 256625020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256625021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234675 + ... + 235765.

It is an arithmetic number, because the mean of its divisors is an integer number (11848200).

Almost surely, 2256625020 is an apocalyptic number.

256625020 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 256625020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284356800).

256625020 is an abundant number, since it is smaller than the sum of its proper divisors (312088580).

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

256625020 is a wasteful number, since it uses less digits than its factorization.

256625020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 256625020 is about 16019.5199678392. The cubic root of 256625020 is about 635.4767494609.

The spelling of 256625020 in words is "two hundred fifty-six million, six hundred twenty-five thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 619 1091 1238 2182 2476 3095 4364 5455 6190 10910 11761 12380 20729 21820 23522 41458 47044 58805 82916 103645 117610 207290 235220 414580 675329 1350658 2701316 3376645 6753290 12831251 13506580 25662502 51325004 64156255 128312510 256625020