Search a number
-
+
889049568 = 253117910657
BaseRepresentation
bin110100111111011…
…101000111100000
32021221220101201210
4310333131013200
53310044041233
6224115230120
731013540151
oct6477350740
92257811653
10889049568
11416933110
122098a8340
13112261344
1486109928
15530b7163
hex34fdd1e0

889049568 has 96 divisors (see below), whose sum is σ = 2578383360. Its totient is φ = 265973760.

The previous prime is 889049543. The next prime is 889049587. The reversal of 889049568 is 865940988.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78096 + ... + 88752.

It is an arithmetic number, because the mean of its divisors is an integer number (26858160).

Almost surely, 2889049568 is an apocalyptic number.

889049568 is a gapful number since it is divisible by the number (88) 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 889049568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289191680).

889049568 is an abundant number, since it is smaller than the sum of its proper divisors (1689333792).

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

889049568 is a wasteful number, since it uses less digits than its factorization.

889049568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10760 (or 10752 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The square root of 889049568 is about 29816.9342488459. The cubic root of 889049568 is about 961.5576448925.

The spelling of 889049568 in words is "eight hundred eighty-nine million, forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 79 88 96 132 158 176 237 264 316 352 474 528 632 869 948 1056 1264 1738 1896 2528 2607 3476 3792 5214 6952 7584 10428 10657 13904 20856 21314 27808 31971 41712 42628 63942 83424 85256 117227 127884 170512 234454 255768 341024 351681 468908 511536 703362 841903 937816 1023072 1406724 1683806 1875632 2525709 2813448 3367612 3751264 5051418 5626896 6735224 9260933 10102836 11253792 13470448 18521866 20205672 26940896 27782799 37043732 40411344 55565598 74087464 80822688 111131196 148174928 222262392 296349856 444524784 889049568