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42590984 = 2317437283
BaseRepresentation
bin1010001001111…
…0001100001000
32222010211211212
42202132030020
541400402414
64120512252
71025005652
oct242361410
988124755
1042590984
1122050267
121231b688
138a92c87
1459296d2
153b1483e
hex289e308

42590984 has 32 divisors (see below), whose sum is σ = 86533920. Its totient is φ = 19574016.

The previous prime is 42590981. The next prime is 42591011. The reversal of 42590984 is 48909524.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42590981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2207 + ... + 9489.

It is an arithmetic number, because the mean of its divisors is an integer number (2704185).

Almost surely, 242590984 is an apocalyptic number.

It is an amenable number.

42590984 is an abundant number, since it is smaller than the sum of its proper divisors (43942936).

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

42590984 is a wasteful number, since it uses less digits than its factorization.

42590984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7349 (or 7345 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 42590984 is about 6526.1768287413. The cubic root of 42590984 is about 349.2254545523.

The spelling of 42590984 in words is "forty-two million, five hundred ninety thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 17 34 43 68 86 136 172 344 731 1462 2924 5848 7283 14566 29132 58264 123811 247622 313169 495244 626338 990488 1252676 2505352 5323873 10647746 21295492 42590984