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889002496 = 29531812
BaseRepresentation
bin110100111111010…
…001101000000000
32021221211000011101
4310333101220000
53310041034441
6224114224144
731013253004
oct6477215000
92257730141
10889002496
11416900808
12209885054
13112245aa5
14860d6704
15530a8231
hex34fd1a00

889002496 has 60 divisors (see below), whose sum is σ = 1819837206. Its totient is φ = 433704960.

The previous prime is 889002481. The next prime is 889002523. The reversal of 889002496 is 694200988.

It can be written as a sum of positive squares in 3 ways, for example, as 293642496 + 595360000 = 17136^2 + 24400^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4911526 + ... + 4911706.

Almost surely, 2889002496 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 889002496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909918603).

889002496 is an abundant number, since it is smaller than the sum of its proper divisors (930834710).

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

889002496 is an frugal number, since it uses more digits than its factorization.

889002496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 889002496 is about 29816.1448882984. The cubic root of 889002496 is about 961.5406742451.

The spelling of 889002496 in words is "eight hundred eighty-nine million, two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 181 212 256 362 424 512 724 848 1448 1696 2896 3392 5792 6784 9593 11584 13568 19186 23168 27136 32761 38372 46336 65522 76744 92672 131044 153488 262088 306976 524176 613952 1048352 1227904 1736333 2096704 2455808 3472666 4193408 4911616 6945332 8386816 13890664 16773632 27781328 55562656 111125312 222250624 444501248 889002496