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42405690 = 2351413523
BaseRepresentation
bin1010000111000…
…0111100111010
32221210102200010
42201300330322
541323440230
64112522350
71023304515
oct241607472
987712603
1042405690
1121a34028
12122503b6
138a29832
1458bbd7c
153ac99b0
hex2870f3a

42405690 has 16 divisors (see below), whose sum is σ = 101773728. Its totient is φ = 11308176.

The previous prime is 42405677. The next prime is 42405691. The reversal of 42405690 is 9650424.

42405690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×424056902 = 3596485088752200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 1413523 = 42405690 / (4 + 2 + 4 + 0 + 5 + 6 + 9 + 0).

It is not an unprimeable number, because it can be changed into a prime (42405691) 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 7 ways as a sum of consecutive naturals, for example, 706732 + ... + 706791.

It is an arithmetic number, because the mean of its divisors is an integer number (6360858).

Almost surely, 242405690 is an apocalyptic number.

42405690 is an abundant number, since it is smaller than the sum of its proper divisors (59368038).

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

42405690 is a wasteful number, since it uses less digits than its factorization.

42405690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413533.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 42405690 is about 6511.9651411843. The cubic root of 42405690 is about 348.7182779692.

The spelling of 42405690 in words is "forty-two million, four hundred five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 1413523 2827046 4240569 7067615 8481138 14135230 21202845 42405690