Search a number
-
+
896023008 = 253231100361
BaseRepresentation
bin110101011010000…
…011100111100000
32022110000200111100
4311122003213200
53313340214013
6224524514400
731130032656
oct6532034740
92273020440
10896023008
1141a866391
122100aba00
1311383343a
1487002dd6
15539e3473
hex356839e0

896023008 has 72 divisors (see below), whose sum is σ = 2630287296. Its totient is φ = 289036800.

The previous prime is 896023003. The next prime is 896023013. The reversal of 896023008 is 800320698.

It is an interprime number because it is at equal distance from previous prime (896023003) and next prime (896023013).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896023001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41253 + ... + 59108.

It is an arithmetic number, because the mean of its divisors is an integer number (36531768).

Almost surely, 2896023008 is an apocalyptic number.

It is an amenable number.

896023008 is an abundant number, since it is smaller than the sum of its proper divisors (1734264288).

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

896023008 is a wasteful number, since it uses less digits than its factorization.

896023008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100408 (or 100397 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 896023008 is about 29933.6434133902. The cubic root of 896023008 is about 964.0651574675.

The spelling of 896023008 in words is "eight hundred ninety-six million, twenty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 100361 200722 301083 401444 602166 802888 903249 1204332 1605776 1806498 2408664 3111191 3211552 3612996 4817328 6222382 7225992 9333573 9634656 12444764 14451984 18667146 24889528 28000719 28903968 37334292 49779056 56001438 74668584 99558112 112002876 149337168 224005752 298674336 448011504 896023008