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255934016 = 2613319923
BaseRepresentation
bin11110100000100…
…11111001000000
3122211120210110122
433100103321000
51011004342031
641221315412
76225255212
oct1720237100
9584523418
10255934016
11121517018
1271865b68
134103c660
1425dc25b2
151770747b
hexf413e40

255934016 has 56 divisors (see below), whose sum is σ = 564635904. Its totient is φ = 114301440.

The previous prime is 255933991. The next prime is 255934027. The reversal of 255934016 is 610439552.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20831 + ... + 30753.

It is an arithmetic number, because the mean of its divisors is an integer number (10082784).

Almost surely, 2255934016 is an apocalyptic number.

255934016 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 255934016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282317952).

255934016 is an abundant number, since it is smaller than the sum of its proper divisors (308701888).

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

255934016 is a wasteful number, since it uses less digits than its factorization.

255934016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9979 (or 9969 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 255934016 is about 15997.9378671127. The cubic root of 255934016 is about 634.9058624167.

The spelling of 255934016 in words is "two hundred fifty-five million, nine hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 248 403 416 496 806 832 992 1612 1984 3224 6448 9923 12896 19846 25792 39692 79384 128999 158768 257998 307613 317536 515996 615226 635072 1031992 1230452 2063984 2460904 3998969 4127968 4921808 7997938 8255936 9843616 15995876 19687232 31991752 63983504 127967008 255934016