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76008285 = 32513712329
BaseRepresentation
bin1001000011111…
…00101101011101
312022000121202200
410201330231131
5123424231120
611313042113
71612026333
oct441745535
9168017680
1076008285
11399a5171
1221556339
1312993522
14a147b53
156a15e90
hex487cb5d

76008285 has 24 divisors (see below), whose sum is σ = 132720120. Its totient is φ = 40238592.

The previous prime is 76008281. The next prime is 76008287. The reversal of 76008285 is 58280067.

76008285 is a nontrivial binomial coefficient, being equal to C(12330, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 4761 + 76003524 = 69^2 + 8718^2 .

It is not a de Polignac number, because 76008285 - 22 = 76008281 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76008281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1 + ... + 12329.

It is an arithmetic number, because the mean of its divisors is an integer number (5530005).

Almost surely, 276008285 is an apocalyptic number.

76008285 is the 12329-th triangular number and also the 6165-th hexagonal number.

It is an amenable number.

76008285 is a deficient number, since it is larger than the sum of its proper divisors (56711835).

76008285 is a wasteful number, since it uses less digits than its factorization.

76008285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12477 (or 12474 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 76008285 is about 8718.2730514707. The cubic root of 76008285 is about 423.5977498831.

The spelling of 76008285 in words is "seventy-six million, eight thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 45 137 411 685 1233 2055 6165 12329 36987 61645 110961 184935 554805 1689073 5067219 8445365 15201657 25336095 76008285