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442490112 = 2832192053
BaseRepresentation
bin11010010111111…
…101110100000000
31010211121211022200
4122113331310000
51401234140422
6111524033200
713652050431
oct3227756400
91124554280
10442490112
11207857409
12104232800
137089a68c
1442aa5488
1528ca82ac
hex1a5fdd00

442490112 has 54 divisors (see below), whose sum is σ = 1275814722. Its totient is φ = 147495936.

The previous prime is 442490071. The next prime is 442490119. The reversal of 442490112 is 211094244.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 301925376 + 140564736 = 17376^2 + 11856^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442490119) 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, 93723 + ... + 98330.

Almost surely, 2442490112 is an apocalyptic number.

It is an amenable number.

442490112 is an abundant number, since it is smaller than the sum of its proper divisors (833324610).

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

442490112 is a wasteful number, since it uses less digits than its factorization.

442490112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192075 (or 192058 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 442490112 is about 21035.4489374484. The cubic root of 442490112 is about 762.0226087077.

The spelling of 442490112 in words is "four hundred forty-two million, four hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 192053 384106 576159 768212 1152318 1536424 1728477 2304636 3072848 3456954 4609272 6145696 6913908 9218544 12291392 13827816 18437088 24582784 27655632 36874176 49165568 55311264 73748352 110622528 147496704 221245056 442490112