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42064890 = 2357383523
BaseRepresentation
bin1010000001110…
…1101111111010
32221011010011220
42200131233322
541232034030
64101332510
71020355110
oct240355772
987133156
1042064890
1121820a7a
1212107136
13893a68a
14582dab0
153a5da10
hex281dbfa

42064890 has 64 divisors (see below), whose sum is σ = 115900416. Its totient is φ = 9571392.

The previous prime is 42064889. The next prime is 42064901. The reversal of 42064890 is 9846024.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80169 + ... + 80691.

It is an arithmetic number, because the mean of its divisors is an integer number (1810944).

Almost surely, 242064890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42064890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57950208).

42064890 is an abundant number, since it is smaller than the sum of its proper divisors (73835526).

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

42064890 is a wasteful number, since it uses less digits than its factorization.

42064890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 42064890 is about 6485.7451383785. The cubic root of 42064890 is about 347.7815877470.

The spelling of 42064890 in words is "forty-two million, sixty-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 383 523 766 1046 1149 1569 1915 2298 2615 2681 3138 3661 3830 5230 5362 5745 7322 7845 8043 10983 11490 13405 15690 16086 18305 21966 26810 36610 40215 54915 80430 109830 200309 400618 600927 1001545 1201854 1402163 2003090 2804326 3004635 4206489 6009270 7010815 8412978 14021630 21032445 42064890