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442064556 = 223215537907
BaseRepresentation
bin11010010110010…
…101111010101100
31010210211012120100
4122112111322230
51401132031211
6111510551100
713645325643
oct3226257254
91123735510
10442064556
1120759670a
12104068490
137077ba7b
14429d435a
1528c22156
hex1a595eac

442064556 has 36 divisors (see below), whose sum is σ = 1118301912. Its totient is φ = 147241344.

The previous prime is 442064551. The next prime is 442064569. The reversal of 442064556 is 655460244.

442064556 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 645 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 442064556.

It is not an unprimeable number, because it can be changed into a prime (442064551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51955 + ... + 59861.

It is an arithmetic number, because the mean of its divisors is an integer number (31063942).

Almost surely, 2442064556 is an apocalyptic number.

It is an amenable number.

442064556 is an abundant number, since it is smaller than the sum of its proper divisors (676237356).

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

442064556 is a wasteful number, since it uses less digits than its factorization.

442064556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9470 (or 9465 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 442064556 is about 21025.3312934660. The cubic root of 442064556 is about 761.7782436943.

The spelling of 442064556 in words is "four hundred forty-two million, sixty-four thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1553 3106 4659 6212 7907 9318 13977 15814 18636 23721 27954 31628 47442 55908 71163 94884 142326 284652 12279571 24559142 36838713 49118284 73677426 110516139 147354852 221032278 442064556