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76205825 = 528293677
BaseRepresentation
bin1001000101011…
…00111100000001
312022101122201222
410202230330001
5124002041300
611321204425
71613511263
oct442547401
9168348658
1076205825
113a01a623
1221630715
1312a32407
14a199b33
156a54785
hex48acf01

76205825 has 12 divisors (see below), whose sum is σ = 94634940. Its totient is φ = 60874560.

The previous prime is 76205821. The next prime is 76205851. The reversal of 76205825 is 52850267.

It can be written as a sum of positive squares in 6 ways, for example, as 237169 + 75968656 = 487^2 + 8716^2 .

It is not a de Polignac number, because 76205825 - 22 = 76205821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76205821) 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 11 ways as a sum of consecutive naturals, for example, 18887 + ... + 22563.

It is an arithmetic number, because the mean of its divisors is an integer number (7886245).

Almost surely, 276205825 is an apocalyptic number.

It is an amenable number.

76205825 is a deficient number, since it is larger than the sum of its proper divisors (18429115).

76205825 is a wasteful number, since it uses less digits than its factorization.

76205825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 76205825 is about 8729.5947786825. The cubic root of 76205825 is about 423.9643990074.

The spelling of 76205825 in words is "seventy-six million, two hundred five thousand, eight hundred twenty-five".

Divisors: 1 5 25 829 3677 4145 18385 20725 91925 3048233 15241165 76205825