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76309812 = 22322119717
BaseRepresentation
bin1001000110001…
…10010100110100
312022120221101100
410203012110310
5124013403222
611323330100
71614423405
oct443062464
9168527340
1076309812
113a090767
1221680930
1312a6a847
14a1c59ac
156a754ac
hex48c6534

76309812 has 18 divisors (see below), whose sum is σ = 192894338. Its totient is φ = 25436592.

The previous prime is 76309801. The next prime is 76309819. The reversal of 76309812 is 21890367.

76309812 is a `hidden beast` number, since 7 + 630 + 9 + 8 + 12 = 666.

76309812 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 57699216 + 18610596 = 7596^2 + 4314^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×763098123 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2119717 = 76309812 / (7 + 6 + 3 + 0 + 9 + 8 + 1 + 2).

It is an alternating number because its digits alternate between odd and even.

76309812 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76309819) 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 5 ways as a sum of consecutive naturals, for example, 1059823 + ... + 1059894.

Almost surely, 276309812 is an apocalyptic number.

It is an amenable number.

76309812 is an abundant number, since it is smaller than the sum of its proper divisors (116584526).

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

76309812 is a wasteful number, since it uses less digits than its factorization.

76309812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119727 (or 2119722 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 76309812 is about 8735.5487520819. The cubic root of 76309812 is about 424.1571522001.

The spelling of 76309812 in words is "seventy-six million, three hundred nine thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2119717 4239434 6359151 8478868 12718302 19077453 25436604 38154906 76309812