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896633088 = 28313312897
BaseRepresentation
bin110101011100011…
…000100100000000
32022111011200100220
4311130120210000
53314014224323
6224545543040
731135153431
oct6534304400
92274150326
10896633088
1142014278a
12210344a80
131139b8030
1487121488
1553ab40e3
hex35718900

896633088 has 144 divisors (see below), whose sum is σ = 2653733376. Its totient is φ = 266895360.

The previous prime is 896633077. The next prime is 896633131. The reversal of 896633088 is 880336698.

It is a self number, because there is not a number n which added to its sum of digits gives 896633088.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308056 + ... + 310952.

It is an arithmetic number, because the mean of its divisors is an integer number (18428704).

Almost surely, 2896633088 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 896633088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326866688).

896633088 is an abundant number, since it is smaller than the sum of its proper divisors (1757100288).

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

896633088 is a wasteful number, since it uses less digits than its factorization.

896633088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 896633088 is about 29943.8322196742. The cubic root of 896633088 is about 964.2839105684.

The spelling of 896633088 in words is "eight hundred ninety-six million, six hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 256 312 372 384 403 416 496 624 744 768 806 832 992 1209 1248 1488 1612 1664 1984 2418 2496 2897 2976 3224 3328 3968 4836 4992 5794 5952 6448 7936 8691 9672 9984 11588 11904 12896 17382 19344 23176 23808 25792 34764 37661 38688 46352 51584 69528 75322 77376 89807 92704 103168 112983 139056 150644 154752 179614 185408 225966 269421 278112 301288 309504 359228 370816 451932 538842 556224 602576 718456 741632 903864 1077684 1112448 1167491 1205152 1436912 1807728 2155368 2224896 2334982 2410304 2873824 3502473 3615456 4310736 4669964 4820608 5747648 7004946 7230912 8621472 9339928 9641216 11495296 14009892 14461824 17242944 18679856 22990592 28019784 28923648 34485888 37359712 56039568 68971776 74719424 112079136 149438848 224158272 298877696 448316544 896633088