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442713620 = 22537015981
BaseRepresentation
bin11010011000110…
…100011000010100
31010212001011220202
4122120310120110
51401313313440
6111532520032
713654001156
oct3230643024
91125034822
10442713620
1120799a328
12104320018
137094832b
1442b22ad6
1528cee615
hex1a634614

442713620 has 24 divisors (see below), whose sum is σ = 930105288. Its totient is φ = 177008000.

The previous prime is 442713619. The next prime is 442713653. The reversal of 442713620 is 26317244.

It can be written as a sum of positive squares in 4 ways, for example, as 620944 + 442092676 = 788^2 + 21026^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71030 + ... + 77010.

It is an arithmetic number, because the mean of its divisors is an integer number (38754387).

Almost surely, 2442713620 is an apocalyptic number.

It is an amenable number.

442713620 is an abundant number, since it is smaller than the sum of its proper divisors (487391668).

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

442713620 is a wasteful number, since it uses less digits than its factorization.

442713620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9691 (or 9689 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 442713620 is about 21040.7609177995. The cubic root of 442713620 is about 762.1508899024.

The spelling of 442713620 in words is "four hundred forty-two million, seven hundred thirteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 3701 5981 7402 11962 14804 18505 23924 29905 37010 59810 74020 119620 22135681 44271362 88542724 110678405 221356810 442713620