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80245764 = 223214932
BaseRepresentation
bin1001100100001…
…11010000000100
312120222220111100
410302013100010
5131020331024
611543540100
71663035444
oct462072004
9176886440
1080245764
1141329915
1222a5a630
1313818201
14a92c124
1570a17c9
hex4c87404

80245764 has 27 divisors (see below), whose sum is σ = 202979413. Its totient is φ = 26730672.

The previous prime is 80245747. The next prime is 80245769. The reversal of 80245764 is 46754208.

The square root of 80245764 is 8958.

It is a perfect power (a square), and thus also a powerful number.

80245764 is a `hidden beast` number, since 80 + 2 + 4 + 576 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70056900 + 10188864 = 8370^2 + 3192^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80245769) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53002 + ... + 54494.

Almost surely, 280245764 is an apocalyptic number.

80245764 is the 8958-th square number.

It is an amenable number.

80245764 is an abundant number, since it is smaller than the sum of its proper divisors (122733649).

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

80245764 is a wasteful number, since it uses less digits than its factorization.

80245764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The cubic root of 80245764 is about 431.3277223495.

Multiplying 80245764 by its sum of digits (36), we get a square (2888847504 = 537482).

80245764 divided by its sum of digits (36) gives a square (2229049 = 14932).

The spelling of 80245764 in words is "eighty million, two hundred forty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1493 2986 4479 5972 8958 13437 17916 26874 53748 2229049 4458098 6687147 8916196 13374294 20061441 26748588 40122882 80245764