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96859296 = 2532336317
BaseRepresentation
bin1011100010111…
…11010010100000
320202020221222100
411301133102200
5144243444141
613340010400
72254201422
oct561372240
9222227870
1096859296
114a746906
1228530a00
13170b40c1
14cc14812
1587840b6
hex5c5f4a0

96859296 has 36 divisors (see below), whose sum is σ = 275444442. Its totient is φ = 32286336.

The previous prime is 96859267. The next prime is 96859307. The reversal of 96859296 is 69295869.

It can be written as a sum of positive squares in only one way, i.e., 81649296 + 15210000 = 9036^2 + 3900^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 167871 + ... + 168446.

Almost surely, 296859296 is an apocalyptic number.

96859296 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

96859296 is an abundant number, since it is smaller than the sum of its proper divisors (178585146).

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

96859296 is a wasteful number, since it uses less digits than its factorization.

96859296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336333 (or 336322 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 96859296 is about 9841.7120461838. The cubic root of 96859296 is about 459.2478192420.

It can be divided in two parts, 9685 and 9296, that added together give a palindrome (18981).

The spelling of 96859296 in words is "ninety-six million, eight hundred fifty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 336317 672634 1008951 1345268 2017902 2690536 3026853 4035804 5381072 6053706 8071608 10762144 12107412 16143216 24214824 32286432 48429648 96859296