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76812336 = 2432599041
BaseRepresentation
bin1001001010000…
…01000000110000
312100112110201100
410211001000300
5124130443321
611342204400
71621615446
oct445010060
9170473640
1076812336
113a3a4277
1221883700
1312bb54b3
14a2b6b96
156b24326
hex4941030

76812336 has 60 divisors (see below), whose sum is σ = 218635560. Its totient is φ = 25167360.

The previous prime is 76812313. The next prime is 76812343. The reversal of 76812336 is 63321867.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 76812336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3976 + ... + 13016.

It is an arithmetic number, because the mean of its divisors is an integer number (3643926).

Almost surely, 276812336 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 76812336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109317780).

76812336 is an abundant number, since it is smaller than the sum of its proper divisors (141823224).

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

76812336 is a wasteful number, since it uses less digits than its factorization.

76812336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9114 (or 9105 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 76812336 is about 8764.2647153084. The cubic root of 76812336 is about 425.0861850590.

The spelling of 76812336 in words is "seventy-six million, eight hundred twelve thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2832 4248 8496 9041 18082 27123 36164 54246 72328 81369 108492 144656 162738 216984 325476 433968 533419 650952 1066838 1301904 1600257 2133676 3200514 4267352 4800771 6401028 8534704 9601542 12802056 19203084 25604112 38406168 76812336