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96436116 = 22337218223
BaseRepresentation
bin1011011111101…
…11111110010100
320201110110111000
411233313332110
5144141423431
613322543300
72250456600
oct557677624
9221413430
1096436116
114a487977
1228367b30
1316c965ba
14cb44500
1586ed9e6
hex5bf7f94

96436116 has 72 divisors (see below), whose sum is σ = 290855040. Its totient is φ = 27551664.

The previous prime is 96436063. The next prime is 96436157. The reversal of 96436116 is 61163469.

96436116 is a `hidden beast` number, since 9 + 643 + 6 + 1 + 1 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3820 + ... + 14403.

Almost surely, 296436116 is an apocalyptic number.

It is an amenable number.

96436116 is an abundant number, since it is smaller than the sum of its proper divisors (194418924).

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

96436116 is a wasteful number, since it uses less digits than its factorization.

96436116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18250 (or 18235 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 96436116 is about 9820.1892038799. The cubic root of 96436116 is about 458.5780221904.

The spelling of 96436116 in words is "ninety-six million, four hundred thirty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 18223 36446 54669 72892 109338 127561 164007 218676 255122 328014 382683 492021 510244 656028 765366 892927 984042 1148049 1530732 1785854 1968084 2296098 2678781 3444147 3571708 4592196 5357562 6888294 8036343 10715124 13776588 16072686 24109029 32145372 48218058 96436116