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75063816 = 23321496997
BaseRepresentation
bin1000111100101…
…10001000001000
312020020122012100
410132112020020
5123204020231
611240513400
71601013642
oct436261010
9166218170
1075063816
113940a613
122117b860
1312722679
149d7d892
1568cb1e6
hex4796208

75063816 has 48 divisors (see below), whose sum is σ = 204691500. Its totient is φ = 24849792.

The previous prime is 75063739. The next prime is 75063869. The reversal of 75063816 is 61836057.

75063816 is a `hidden beast` number, since 7 + 5 + 0 + 638 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68062500 + 7001316 = 8250^2 + 2646^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7230 + ... + 14226.

Almost surely, 275063816 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 75063816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102345750).

75063816 is an abundant number, since it is smaller than the sum of its proper divisors (129627684).

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

75063816 is a wasteful number, since it uses less digits than its factorization.

75063816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7158 (or 7151 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 75063816 is about 8663.9376729060. The cubic root of 75063816 is about 421.8359087400.

The spelling of 75063816 in words is "seventy-five million, sixty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 894 1192 1341 1788 2682 3576 5364 6997 10728 13994 20991 27988 41982 55976 62973 83964 125946 167928 251892 503784 1042553 2085106 3127659 4170212 6255318 8340424 9382977 12510636 18765954 25021272 37531908 75063816