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76206325 = 52132171061
BaseRepresentation
bin1001000101011…
…01000011110101
312022101200102111
410202231003311
5124002100300
611321211021
71613512606
oct442550365
9168350374
1076206325
113a01aa38
1221630a71
1312a32700
14a199dad
156a549ba
hex48ad0f5

76206325 has 36 divisors (see below), whose sum is σ = 108445068. Its totient is φ = 52915200.

The previous prime is 76206313. The next prime is 76206329. The reversal of 76206325 is 52360267.

It can be written as a sum of positive squares in 18 ways, for example, as 59876644 + 16329681 = 7738^2 + 4041^2 .

It is not a de Polignac number, because 76206325 - 25 = 76206293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76206329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71295 + ... + 72355.

It is an arithmetic number, because the mean of its divisors is an integer number (3012363).

Almost surely, 276206325 is an apocalyptic number.

It is an amenable number.

76206325 is a deficient number, since it is larger than the sum of its proper divisors (32238743).

76206325 is a wasteful number, since it uses less digits than its factorization.

76206325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 76206325 is about 8729.6234168491. The cubic root of 76206325 is about 423.9653262407.

The spelling of 76206325 in words is "seventy-six million, two hundred six thousand, three hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 169 221 325 425 845 1061 1105 2873 4225 5305 5525 13793 14365 18037 26525 68965 71825 90185 179309 234481 344825 450925 896545 1172405 3048253 4482725 5862025 15241265 76206325