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442505625 = 3542331331
BaseRepresentation
bin11010011000000…
…001100110011001
31010211122121121020
4122120001212121
51401240140000
6111524233053
713652143602
oct3230014631
91124577536
10442505625
11207868031
1210423b789
13708a4763
1442aaada9
1528cacba0
hex1a601999

442505625 has 80 divisors (see below), whose sum is σ = 796545024. Its totient is φ = 217800000.

The previous prime is 442505617. The next prime is 442505629. The reversal of 442505625 is 526505244.

It is not a de Polignac number, because 442505625 - 23 = 442505617 is a prime.

It is a super-2 number, since 2×4425056252 = 391622456313281250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442505629) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1336710 + ... + 1337040.

Almost surely, 2442505625 is an apocalyptic number.

It is an amenable number.

442505625 is a deficient number, since it is larger than the sum of its proper divisors (354039399).

442505625 is a wasteful number, since it uses less digits than its factorization.

442505625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 442505625 is about 21035.8176689189. The cubic root of 442505625 is about 762.0315137042.

The spelling of 442505625 in words is "four hundred forty-two million, five hundred five thousand, six hundred twenty-five".

Divisors: 1 3 5 15 23 25 31 69 75 93 115 125 155 331 345 375 465 575 625 713 775 993 1655 1725 1875 2139 2325 2875 3565 3875 4965 7613 8275 8625 10261 10695 11625 14375 17825 19375 22839 24825 30783 38065 41375 43125 51305 53475 58125 89125 114195 124125 153915 190325 206875 236003 256525 267375 445625 570975 620625 708009 769575 951625 1180015 1282625 1336875 2854875 3540045 3847875 4758125 5900075 6413125 14274375 17700225 19239375 29500375 88501125 147501875 442505625