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255087768 = 2331319371163
BaseRepresentation
bin11110011010001…
…01010010011000
3122202222210122010
433031011102120
51010300302033
641151225520
76215132055
oct1715052230
9582883563
10255087768
11120a99241
12715182a0
1340b04410
1425c4202c
15175db863
hexf345498

255087768 has 128 divisors (see below), whose sum is σ = 743097600. Its totient is φ = 72285696.

The previous prime is 255087751. The next prime is 255087793. The reversal of 255087768 is 867780552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218755 + ... + 219917.

It is an arithmetic number, because the mean of its divisors is an integer number (5805450).

Almost surely, 2255087768 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 255087768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371548800).

255087768 is an abundant number, since it is smaller than the sum of its proper divisors (488009832).

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

255087768 is a wasteful number, since it uses less digits than its factorization.

255087768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The square root of 255087768 is about 15971.4673089231. The cubic root of 255087768 is about 634.2053158499.

The spelling of 255087768 in words is "two hundred fifty-five million, eighty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 37 38 39 52 57 74 76 78 104 111 114 148 152 156 222 228 247 296 312 444 456 481 494 703 741 888 962 988 1163 1406 1443 1482 1924 1976 2109 2326 2812 2886 2964 3489 3848 4218 4652 5624 5772 5928 6978 8436 9139 9304 11544 13956 15119 16872 18278 22097 27417 27912 30238 36556 43031 44194 45357 54834 60476 66291 73112 86062 88388 90714 109668 120952 129093 132582 172124 176776 181428 219336 258186 265164 287261 344248 362856 516372 530328 559403 574522 817589 861783 1032744 1118806 1149044 1635178 1678209 1723566 2237612 2298088 2452767 3270356 3356418 3447132 4475224 4905534 6540712 6712836 6894264 9811068 10628657 13425672 19622136 21257314 31885971 42514628 63771942 85029256 127543884 255087768