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76065885 = 345723833
BaseRepresentation
bin1001000100010…
…10110001011101
312022010112210000
410202022301131
5123433102020
611314204513
71612356300
oct442126135
9168115700
1076065885
1139a34475
1221583739
13129b37cc
14a160b37
156a28090
hex488ac5d

76065885 has 60 divisors (see below), whose sum is σ = 158658588. Its totient is φ = 34763904.

The previous prime is 76065883. The next prime is 76065907. The reversal of 76065885 is 58856067.

76065885 is a `hidden beast` number, since 7 + 60 + 6 + 588 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21734244 + 54331641 = 4662^2 + 7371^2 .

It is not a de Polignac number, because 76065885 - 21 = 76065883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 76065885.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76065883) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17929 + ... + 21761.

Almost surely, 276065885 is an apocalyptic number.

It is an amenable number.

76065885 is an abundant number, since it is smaller than the sum of its proper divisors (82592703).

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

76065885 is a wasteful number, since it uses less digits than its factorization.

76065885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 76065885 is about 8721.5758323826. The cubic root of 76065885 is about 423.7047253689.

The spelling of 76065885 in words is "seventy-six million, sixty-five thousand, eight hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 245 315 405 441 567 735 945 1323 2205 2835 3833 3969 6615 11499 19165 19845 26831 34497 57495 80493 103491 134155 172485 187817 241479 310473 402465 517455 563451 724437 939085 1207395 1552365 1690353 2173311 2817255 3622185 5071059 8451765 10866555 15213177 25355295 76065885