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42587660 = 22529101727
BaseRepresentation
bin1010001001110…
…1011000001100
32222010200021202
42202131120030
541400301120
64120445032
71024663163
oct242353014
988120252
1042587660
1122048815
1212319778
138a915cb
1459283da
153b13875
hex289d60c

42587660 has 48 divisors (see below), whose sum is σ = 93562560. Its totient is φ = 16262400.

The previous prime is 42587659. The next prime is 42587681. The reversal of 42587660 is 6678524.

It is a happy number.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58217 + ... + 58943.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220).

Almost surely, 242587660 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 42587660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46781280).

42587660 is an abundant number, since it is smaller than the sum of its proper divisors (50974900).

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

42587660 is a wasteful number, since it uses less digits than its factorization.

42587660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 42587660 is about 6525.9221570595. The cubic root of 42587660 is about 349.2163692523.

The spelling of 42587660 in words is "forty-two million, five hundred eighty-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 101 116 145 202 290 404 505 580 727 1010 1454 2020 2908 2929 3635 5858 7270 11716 14540 14645 21083 29290 42166 58580 73427 84332 105415 146854 210830 293708 367135 421660 734270 1468540 2129383 4258766 8517532 10646915 21293830 42587660