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255296880 = 24335181653
BaseRepresentation
bin11110011011110…
…00010101110000
3122210101102111000
433031320111300
51010324000010
641155522000
76216662526
oct1715702560
9583342430
10255296880
11121121363
12715b9300
1340b78657
1425c98316
151762d7c0
hexf378570

255296880 has 160 divisors (see below), whose sum is σ = 885568320. Its totient is φ = 67599360.

The previous prime is 255296879. The next prime is 255296887. The reversal of 255296880 is 88692552.

255296880 is a `hidden beast` number, since 2 + 552 + 96 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255296887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390634 + ... + 391286.

It is an arithmetic number, because the mean of its divisors is an integer number (5534802).

Almost surely, 2255296880 is an apocalyptic number.

255296880 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 255296880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442784160).

255296880 is an abundant number, since it is smaller than the sum of its proper divisors (630271440).

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

255296880 is a wasteful number, since it uses less digits than its factorization.

255296880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 255296880 is about 15978.0123920342. The cubic root of 255296880 is about 634.3785682700.

The spelling of 255296880 in words is "two hundred fifty-five million, two hundred ninety-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 181 216 240 270 360 362 432 540 543 653 720 724 905 1080 1086 1306 1448 1629 1810 1959 2160 2172 2612 2715 2896 3258 3265 3620 3918 4344 4887 5224 5430 5877 6516 6530 7240 7836 8145 8688 9774 9795 10448 10860 11754 13032 13060 14480 15672 16290 17631 19548 19590 21720 23508 24435 26064 26120 29385 31344 32580 35262 39096 39180 43440 47016 48870 52240 58770 65160 70524 78192 78360 88155 94032 97740 117540 118193 130320 141048 156720 176310 195480 235080 236386 282096 352620 354579 390960 470160 472772 590965 705240 709158 945544 1063737 1181930 1410480 1418316 1772895 1891088 2127474 2363860 2836632 3191211 3545790 4254948 4727720 5318685 5673264 6382422 7091580 8509896 9455440 10637370 12764844 14183160 15956055 17019792 21274740 25529688 28366320 31912110 42549480 51059376 63824220 85098960 127648440 255296880