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255103992 = 233411132753
BaseRepresentation
bin11110011010010…
…01001111111000
3122210000121220000
433031021033320
51010301311432
641151433000
76215230263
oct1715111770
9583017800
10255103992
11120aaa450
1271525760
1340b0b910
1425c47cda
15175e157c
hexf3493f8

255103992 has 160 divisors (see below), whose sum is σ = 839749680. Its totient is φ = 71331840.

The previous prime is 255103987. The next prime is 255104021. The reversal of 255103992 is 299301552.

It is a happy number.

255103992 is a `hidden beast` number, since 25 + 510 + 39 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91288 + ... + 94040.

Almost surely, 2255103992 is an apocalyptic number.

255103992 is a gapful number since it is divisible by the number (22) 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 255103992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419874840).

255103992 is an abundant number, since it is smaller than the sum of its proper divisors (584645688).

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

255103992 is a wasteful number, since it uses less digits than its factorization.

255103992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 255103992 is about 15971.9752065923. The cubic root of 255103992 is about 634.2187610639.

The spelling of 255103992 in words is "two hundred fifty-five million, one hundred three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 81 88 99 104 108 117 132 143 156 162 198 216 234 264 286 297 312 324 351 396 429 468 572 594 648 702 792 858 891 936 1053 1144 1188 1287 1404 1716 1782 2106 2376 2574 2753 2808 3432 3564 3861 4212 5148 5506 7128 7722 8259 8424 10296 11012 11583 15444 16518 22024 23166 24777 30283 30888 33036 35789 46332 49554 60566 66072 71578 74331 90849 92664 99108 107367 121132 143156 148662 181698 198216 214734 222993 242264 272547 286312 297324 322101 363396 393679 429468 445986 545094 594648 644202 726792 787358 817641 858936 891972 966303 1090188 1181037 1288404 1574716 1635282 1783944 1932606 2180376 2362074 2452923 2576808 2898909 3149432 3270564 3543111 3865212 4724148 4905846 5797818 6541128 7086222 7730424 9448296 9811692 10629333 11595636 14172444 19623384 21258666 23191272 28344888 31887999 42517332 63775998 85034664 127551996 255103992