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255346056 = 233272157461
BaseRepresentation
bin11110011100001…
…00010110001000
3122210110220221100
433032010112020
51010332033211
641200541400
76220256100
oct1716042610
9583426840
10255346056
111211552a9
1271621860
1340b94b54
1425cac200
151763d156
hexf384588

255346056 has 144 divisors (see below), whose sum is σ = 811350540. Its totient is φ = 72334080.

The previous prime is 255346051. The next prime is 255346057. The reversal of 255346056 is 650643552.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 245423556 + 9922500 = 15666^2 + 3150^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 255346056.

It is not an unprimeable number, because it can be changed into a prime (255346051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 553666 + ... + 554126.

Almost surely, 2255346056 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 255346056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405675270).

255346056 is an abundant number, since it is smaller than the sum of its proper divisors (556004484).

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

255346056 is a wasteful number, since it uses less digits than its factorization.

255346056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 255346056 is about 15979.5511826834. The cubic root of 255346056 is about 634.4192975805.

The spelling of 255346056 in words is "two hundred fifty-five million, three hundred forty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 157 168 196 252 294 314 392 441 461 471 504 588 628 882 922 942 1099 1176 1256 1383 1413 1764 1844 1884 2198 2766 2826 3227 3297 3528 3688 3768 4149 4396 5532 5652 6454 6594 7693 8298 8792 9681 9891 11064 11304 12908 13188 15386 16596 19362 19782 22589 23079 25816 26376 29043 30772 33192 38724 39564 45178 46158 58086 61544 67767 69237 72377 77448 79128 90356 92316 116172 135534 138474 144754 180712 184632 203301 217131 232344 271068 276948 289508 406602 434262 506639 542136 553896 579016 651393 813204 868524 1013278 1302786 1519917 1626408 1737048 2026556 2605572 3039834 3546473 4053112 4559751 5211144 6079668 7092946 9119502 10639419 12159336 14185892 18239004 21278838 28371784 31918257 36478008 42557676 63836514 85115352 127673028 255346056