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880896 = 2833137
BaseRepresentation
bin11010111000100000000
31122202100210
43113010000
5211142041
630514120
710326132
oct3270400
91582323
10880896
11551915
12365940
1324ac53
1418d052
15126016
hexd7100

880896 has 72 divisors (see below), whose sum is σ = 2485504. Its totient is φ = 276480.

The previous prime is 880883. The next prime is 880903. The reversal of 880896 is 698088.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 880896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23790 + ... + 23826.

2880896 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 880896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242752).

880896 is an abundant number, since it is smaller than the sum of its proper divisors (1604608).

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

880896 is a wasteful number, since it uses less digits than its factorization.

880896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 880896 is about 938.5606000680. The cubic root of 880896 is about 95.8609096864.

The spelling of 880896 in words is "eight hundred eighty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 64 74 93 96 111 124 128 148 186 192 222 248 256 296 372 384 444 496 592 744 768 888 992 1147 1184 1488 1776 1984 2294 2368 2976 3441 3552 3968 4588 4736 5952 6882 7104 7936 9176 9472 11904 13764 14208 18352 23808 27528 28416 36704 55056 73408 110112 146816 220224 293632 440448 880896