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76997845 = 5177312409
BaseRepresentation
bin1001001011011…
…10010011010101
312100212220012001
410211232103111
5124202412340
611350155301
71623320341
oct445562325
9170786161
1076997845
113a510691
1221952b31
1312c4ba72
14a324621
156b5e29a
hex496e4d5

76997845 has 16 divisors (see below), whose sum is σ = 99180720. Its totient is φ = 57176064.

The previous prime is 76997827. The next prime is 76997857. The reversal of 76997845 is 54879967.

76997845 is a nontrivial binomial coefficient, being equal to C(12410, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 3020644 + 73977201 = 1738^2 + 8601^2 .

It is a 6-Lehmer number, since φ(76997845) divides (76997845-1)6.

It is a cyclic number.

It is not a de Polignac number, because 76997845 - 27 = 76997717 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 12409.

It is an arithmetic number, because the mean of its divisors is an integer number (6198795).

Almost surely, 276997845 is an apocalyptic number.

76997845 is the 12409-th triangular number and also the 6205-th hexagonal number.

76997845 is the 4137-th centered nonagonal number.

It is an amenable number.

76997845 is a deficient number, since it is larger than the sum of its proper divisors (22182875).

76997845 is a wasteful number, since it uses less digits than its factorization.

76997845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12504.

The product of its digits is 3810240, while the sum is 55.

The square root of 76997845 is about 8774.8415940118. The cubic root of 76997845 is about 425.4281176167.

The spelling of 76997845 in words is "seventy-six million, nine hundred ninety-seven thousand, eight hundred forty-five".

Divisors: 1 5 17 73 85 365 1241 6205 12409 62045 210953 905857 1054765 4529285 15399569 76997845