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255779264 = 26133147211
BaseRepresentation
bin11110011111011…
…10000111000000
3122211021221012002
433033232013000
51010434414024
641214123132
76224042066
oct1717560700
9584257162
10255779264
11121420824
12717b04a8
1340cb70a0
1425d82036
15176c66ae
hexf3ee1c0

255779264 has 112 divisors (see below), whose sum is σ = 578973696. Its totient is φ = 111283200.

The previous prime is 255779239. The next prime is 255779281. The reversal of 255779264 is 462977552.

It is a Harshad number since it is a multiple of its sum of digits (47).

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, 1212119 + ... + 1212329.

It is an arithmetic number, because the mean of its divisors is an integer number (5169408).

Almost surely, 2255779264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255779264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289486848).

255779264 is an abundant number, since it is smaller than the sum of its proper divisors (323194432).

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

255779264 is a wasteful number, since it uses less digits than its factorization.

255779264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 47.

The square root of 255779264 is about 15993.1005124085. The cubic root of 255779264 is about 634.7778701015. Note that the first 3 decimals are identical.

The spelling of 255779264 in words is "two hundred fifty-five million, seven hundred seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 31 32 47 52 62 64 94 104 124 188 208 211 248 376 403 416 422 496 611 752 806 832 844 992 1222 1457 1504 1612 1688 1984 2444 2743 2914 3008 3224 3376 4888 5486 5828 6448 6541 6752 9776 9917 10972 11656 12896 13082 13504 18941 19552 19834 21944 23312 25792 26164 37882 39104 39668 43888 46624 52328 75764 79336 85033 87776 93248 104656 128921 151528 158672 170066 175552 209312 257842 303056 307427 317344 340132 418624 515684 606112 614854 634688 680264 1031368 1212224 1229708 1360528 2062736 2459416 2721056 3996551 4125472 4918832 5442112 7993102 8250944 9837664 15986204 19675328 31972408 63944816 127889632 255779264