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442564092 = 223212293447
BaseRepresentation
bin11010011000001…
…111110111111100
31010211202120210200
4122120033313330
51401244022332
6111525403500
713652506215
oct3230176774
91124676720
10442564092
112078a7a53
12104269590
13708c5259
1442ac440c
1528cc017c
hex1a60fdfc

442564092 has 18 divisors (see below), whose sum is σ = 1118703768. Its totient is φ = 147521352.

The previous prime is 442564069. The next prime is 442564097. The reversal of 442564092 is 290465244.

442564092 is a `hidden beast` number, since 4 + 4 + 2 + 5 + 640 + 9 + 2 = 666.

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

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: 12293447 = 442564092 / (4 + 4 + 2 + 5 + 6 + 4 + 0 + 9 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442564097) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6146688 + ... + 6146759.

Almost surely, 2442564092 is an apocalyptic number.

It is an amenable number.

442564092 is an abundant number, since it is smaller than the sum of its proper divisors (676139676).

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

442564092 is a wasteful number, since it uses less digits than its factorization.

442564092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12293457 (or 12293452 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 442564092 is about 21037.2073241673. The cubic root of 442564092 is about 762.0650739061.

The spelling of 442564092 in words is "four hundred forty-two million, five hundred sixty-four thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 12293447 24586894 36880341 49173788 73760682 110641023 147521364 221282046 442564092