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96100896 = 2532934519
BaseRepresentation
bin1011011101001…
…10001000100000
320200211102122110
411232212020200
5144100212041
613311435320
72244562353
oct556461040
9220742573
1096100896
114a279031
1228225b40
1316ba9b48
14ca9829a
158684516
hex5ba6220

96100896 has 48 divisors (see below), whose sum is σ = 260971200. Its totient is φ = 30928128.

The previous prime is 96100891. The next prime is 96100897. The reversal of 96100896 is 69800169.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (96100891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14476 + ... + 20043.

It is an arithmetic number, because the mean of its divisors is an integer number (5436900).

Almost surely, 296100896 is an apocalyptic number.

96100896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

96100896 is an abundant number, since it is smaller than the sum of its proper divisors (164870304).

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

96100896 is a wasteful number, since it uses less digits than its factorization.

96100896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34561 (or 34553 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 96100896 is about 9803.1064464281. The cubic root of 96100896 is about 458.0460534788.

The spelling of 96100896 in words is "ninety-six million, one hundred thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 34519 69038 103557 138076 207114 276152 414228 552304 828456 1001051 1104608 1656912 2002102 3003153 3313824 4004204 6006306 8008408 12012612 16016816 24025224 32033632 48050448 96100896