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896295460 = 225297321169
BaseRepresentation
bin110101011011000…
…110001000100100
32022110112112020011
4311123012020210
53313422423320
6224534420004
731132246204
oct6533061044
92273475204
10896295460
1141aa32055
12210201604
131138ca458
1487074404
1553a4905a
hex356c6224

896295460 has 48 divisors (see below), whose sum is σ = 1973890800. Its totient is φ = 341397504.

The previous prime is 896295457. The next prime is 896295473. The reversal of 896295460 is 64592698.

It can be written as a sum of positive squares in 8 ways, for example, as 70997476 + 825297984 = 8426^2 + 28728^2 .

It is a super-2 number, since 2×8962954602 = 1606691103233223200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (49) 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 15 ways as a sum of consecutive naturals, for example, 31756 + ... + 52924.

It is an arithmetic number, because the mean of its divisors is an integer number (41122725).

Almost surely, 2896295460 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 896295460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986945400).

896295460 is an abundant number, since it is smaller than the sum of its proper divisors (1077595340).

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

896295460 is a wasteful number, since it uses less digits than its factorization.

896295460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21280 (or 21278 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The square root of 896295460 is about 29938.1940003067. The cubic root of 896295460 is about 964.1628613806.

The spelling of 896295460 in words is "eight hundred ninety-six million, two hundred ninety-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 73 116 145 146 290 292 365 580 730 1460 2117 4234 8468 10585 21169 21170 42338 42340 84676 105845 211690 423380 613901 1227802 1545337 2455604 3069505 3090674 6139010 6181348 7726685 12278020 15453370 30906740 44814773 89629546 179259092 224073865 448147730 896295460