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42587860 = 2257243457
BaseRepresentation
bin1010001001110…
…1011011010100
32222010200120011
42202131123110
541400302420
64120450004
71024663600
oct242353324
988120504
1042587860
1122048987
1212319904
138a91723
145928500
153b1395a
hex289d6d4

42587860 has 36 divisors (see below), whose sum is σ = 104038452. Its totient is φ = 14601216.

The previous prime is 42587837. The next prime is 42587861. The reversal of 42587860 is 6878524.

42587860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 20196036 + 22391824 = 4494^2 + 4732^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42587861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20749 + ... + 22708.

It is an arithmetic number, because the mean of its divisors is an integer number (2889957).

Almost surely, 242587860 is an apocalyptic number.

It is an amenable number.

42587860 is an abundant number, since it is smaller than the sum of its proper divisors (61450592).

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

42587860 is a wasteful number, since it uses less digits than its factorization.

42587860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43480 (or 43471 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 42587860 is about 6525.9374805464. The cubic root of 42587860 is about 349.2169159142.

The spelling of 42587860 in words is "forty-two million, five hundred eighty-seven thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 43457 86914 173828 217285 304199 434570 608398 869140 1216796 1520995 2129393 3041990 4258786 6083980 8517572 10646965 21293930 42587860