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255506056 = 23131728501
BaseRepresentation
bin11110011101010…
…11011010001000
3122210210001102021
433032223122020
51010402143211
641204214224
76221523421
oct1716533210
9583701367
10255506056
11121254533
127169a374
1340c1c920
1425d10648
1517670771
hexf3ab688

255506056 has 48 divisors (see below), whose sum is σ = 548123940. Its totient is φ = 110976000.

The previous prime is 255506033. The next prime is 255506071. The reversal of 255506056 is 650605552.

It is a happy number.

255506056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 90897156 + 164608900 = 9534^2 + 12830^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25806 + ... + 34306.

Almost surely, 2255506056 is an apocalyptic number.

255506056 is a gapful number since it is divisible by the number (26) 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 255506056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274061970).

255506056 is an abundant number, since it is smaller than the sum of its proper divisors (292617884).

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

255506056 is a wasteful number, since it uses less digits than its factorization.

255506056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8554 (or 8533 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 34.

The square root of 255506056 is about 15984.5567971089. The cubic root of 255506056 is about 634.5517790909.

The spelling of 255506056 in words is "two hundred fifty-five million, five hundred six thousand, fifty-six".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 289 442 578 884 1156 1768 2312 3757 7514 8501 15028 17002 30056 34004 68008 110513 144517 221026 289034 442052 578068 884104 1156136 1878721 2456789 3757442 4913578 7514884 9827156 15029768 19654312 31938257 63876514 127753028 255506056