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442505740 = 225231138513
BaseRepresentation
bin11010011000000…
…001101000001100
31010211122121202111
4122120001220030
51401240140430
6111524233404
713652144125
oct3230015014
91124577674
10442505740
11207868126
1210423b864
13708a4821
1442aab04c
1528cacc2a
hex1a601a0c

442505740 has 48 divisors (see below), whose sum is σ = 978360768. Its totient is φ = 167788544.

The previous prime is 442505731. The next prime is 442505741. The reversal of 442505740 is 47505244.

It is a super-2 number, since 2×4425057402 = 391622659865895200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442505741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47724 + ... + 56236.

It is an arithmetic number, because the mean of its divisors is an integer number (20382516).

Almost surely, 2442505740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442505740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489180384).

442505740 is an abundant number, since it is smaller than the sum of its proper divisors (535855028).

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

442505740 is a wasteful number, since it uses less digits than its factorization.

442505740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8658 (or 8656 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 31.

The square root of 442505740 is about 21035.8204023518. The cubic root of 442505740 is about 762.0315797173.

The spelling of 442505740 in words is "four hundred forty-two million, five hundred five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 113 115 226 230 452 460 565 1130 2260 2599 5198 8513 10396 12995 17026 25990 34052 42565 51980 85130 170260 195799 391598 783196 961969 978995 1923938 1957990 3847876 3915980 4809845 9619690 19239380 22125287 44250574 88501148 110626435 221252870 442505740