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255552 = 263113
BaseRepresentation
bin111110011001000000
3110222112220
4332121000
531134202
65251040
72113023
oct763100
9428486
10255552
11165000
12103a80
138c41b
14691ba
1550abc
hex3e640

255552 has 56 divisors (see below), whose sum is σ = 743712. Its totient is φ = 77440.

The previous prime is 255551. The next prime is 255571.

255552 is nontrivially palindromic in base 10.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=44.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 255552.

It is not an unprimeable number, because it can be changed into a prime (255551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23227 + ... + 23237.

2255552 is an apocalyptic number.

255552 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 255552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371856).

255552 is an abundant number, since it is smaller than the sum of its proper divisors (488160).

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

255552 is an equidigital number, since it uses as much as digits as its factorization.

255552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 16 counting only the distinct ones).

The product of its digits is 2500, while the sum is 24.

The square root of 255552 is about 505.5215128953. The cubic root of 255552 is about 63.4589810935.

255552 divided by its sum of digits (24) gives a cube (10648 = 223).

The spelling of 255552 in words is "two hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1331 1452 1936 2112 2662 2904 3872 3993 5324 5808 7744 7986 10648 11616 15972 21296 23232 31944 42592 63888 85184 127776 255552