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255850880 = 2751492683
BaseRepresentation
bin11110011111111…
…11100110000000
3122211102120102112
433033333212000
51010444212010
641215434452
76224460635
oct1717774600
9584376375
10255850880
1112146a60a
1271825a28
134101086c
1425da018c
15176dca05
hexf3ff980

255850880 has 64 divisors (see below), whose sum is σ = 615978000. Its totient is φ = 101615616.

The previous prime is 255850849. The next prime is 255850891. The reversal of 255850880 is 88058552.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 94019 + ... + 96701.

Almost surely, 2255850880 is an apocalyptic number.

255850880 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 255850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307989000).

255850880 is an abundant number, since it is smaller than the sum of its proper divisors (360127120).

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

255850880 is a wasteful number, since it uses less digits than its factorization.

255850880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 41.

The square root of 255850880 is about 15995.3393211898. The cubic root of 255850880 is about 634.8371086927.

The spelling of 255850880 in words is "two hundred fifty-five million, eight hundred fifty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 149 160 298 320 596 640 745 1192 1490 2384 2683 2980 4768 5366 5960 9536 10732 11920 13415 19072 21464 23840 26830 42928 47680 53660 85856 95360 107320 171712 214640 343424 399767 429280 799534 858560 1599068 1717120 1998835 3198136 3997670 6396272 7995340 12792544 15990680 25585088 31981360 51170176 63962720 127925440 255850880