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42045690 = 2353737879
BaseRepresentation
bin1010000001100…
…1000011111010
32221010010211210
42200121003322
541230430230
64101103550
71020245121
oct240310372
987103753
1042045690
1121808605
12120b7bb6
138931a0b
145826ab8
153a57eb0
hex28190fa

42045690 has 32 divisors (see below), whose sum is σ = 103639680. Its totient is φ = 10908864.

The previous prime is 42045677. The next prime is 42045697. The reversal of 42045690 is 9654024.

It is a super-2 number, since 2×420456902 = 3535680095152200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42045697) by changing a digit.

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, 17830 + ... + 20049.

It is an arithmetic number, because the mean of its divisors is an integer number (3238740).

Almost surely, 242045690 is an apocalyptic number.

42045690 is an abundant number, since it is smaller than the sum of its proper divisors (61593990).

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

42045690 is a wasteful number, since it uses less digits than its factorization.

42045690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37926.

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

The square root of 42045690 is about 6484.2648002684. The cubic root of 42045690 is about 347.7286661562.

The spelling of 42045690 in words is "forty-two million, forty-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 37879 75758 113637 189395 227274 378790 568185 1136370 1401523 2803046 4204569 7007615 8409138 14015230 21022845 42045690