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42584360 = 23571311699
BaseRepresentation
bin1010001001110…
…0100100101000
32222010111202112
42202130210220
541400144420
64120421452
71024650440
oct242344450
988114675
1042584360
1122046295
1212317888
138a8cc60
145927120
153b128c5
hex289c928

42584360 has 64 divisors (see below), whose sum is σ = 117936000. Its totient is φ = 13476096.

The previous prime is 42584357. The next prime is 42584393. The reversal of 42584360 is 6348524.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2210 + ... + 9489.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 242584360 is an apocalyptic number.

42584360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42584360 is an abundant number, since it is smaller than the sum of its proper divisors (75351640).

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

42584360 is a wasteful number, since it uses less digits than its factorization.

42584360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11730 (or 11726 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 42584360 is about 6525.6693143309. The cubic root of 42584360 is about 349.2073490824.

The spelling of 42584360 in words is "forty-two million, five hundred eighty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 11699 23398 46796 58495 81893 93592 116990 152087 163786 233980 304174 327572 409465 467960 608348 655144 760435 818930 1064609 1216696 1520870 1637860 2129218 3041740 3275720 4258436 5323045 6083480 8516872 10646090 21292180 42584360