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76406825 = 5211793517
BaseRepresentation
bin1001000110111…
…10000000101001
312022202212110102
410203132000221
5124030004300
611325355145
71615306265
oct443360051
9168685412
1076406825
113a147640
1221708ab5
1312aa2a51
14a20d0a5
156a940d5
hex48de029

76406825 has 24 divisors (see below), whose sum is σ = 104695680. Its totient is φ = 54849600.

The previous prime is 76406807. The next prime is 76406839. The reversal of 76406825 is 52860467.

It is a happy number.

It is not a de Polignac number, because 76406825 - 28 = 76406569 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19967 + ... + 23483.

It is an arithmetic number, because the mean of its divisors is an integer number (4362320).

Almost surely, 276406825 is an apocalyptic number.

It is an amenable number.

76406825 is a deficient number, since it is larger than the sum of its proper divisors (28288855).

76406825 is a wasteful number, since it uses less digits than its factorization.

76406825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 76406825 is about 8741.0997591836. The cubic root of 76406825 is about 424.3368203690.

The spelling of 76406825 in words is "seventy-six million, four hundred six thousand, eight hundred twenty-five".

Divisors: 1 5 11 25 55 79 275 395 869 1975 3517 4345 17585 21725 38687 87925 193435 277843 967175 1389215 3056273 6946075 15281365 76406825