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880256 = 2713232
BaseRepresentation
bin11010110111010000000
31122201111002
43112322000
5211132011
630511132
710324226
oct3267200
91581432
10880256
11551393
123654a8
1324a880
1418cb16
15125c3b
hexd6e80

880256 has 48 divisors (see below), whose sum is σ = 1974210. Its totient is φ = 388608.

The previous prime is 880249. The next prime is 880259. The reversal of 880256 is 652088.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 846400 + 33856 = 920^2 + 184^2 .

It is not an unprimeable number, because it can be changed into a prime (880259) by changing a digit.

880256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38261 + ... + 38283.

2880256 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 880256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987105).

880256 is an abundant number, since it is smaller than the sum of its proper divisors (1093954).

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

880256 is a wasteful number, since it uses less digits than its factorization.

880256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 880256 is about 938.2195905011. The cubic root of 880256 is about 95.8376886909.

The spelling of 880256 in words is "eight hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 299 368 416 529 598 736 832 1058 1196 1472 1664 2116 2392 2944 4232 4784 6877 8464 9568 13754 16928 19136 27508 33856 38272 55016 67712 110032 220064 440128 880256