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42641064 = 2332592237
BaseRepresentation
bin1010001010101…
…0011010101000
32222020101112200
42202222122220
541404003224
64121540200
71025304654
oct242523250
988211480
1042641064
1122084954
1212344660
138aac9cb
14593da64
153b245c9
hex28aa6a8

42641064 has 24 divisors (see below), whose sum is σ = 115486410. Its totient is φ = 14213664.

The previous prime is 42641063. The next prime is 42641069. The reversal of 42641064 is 46014624.

It can be written as a sum of positive squares in only one way, i.e., 31472100 + 11168964 = 5610^2 + 3342^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (42641063) 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 5 ways as a sum of consecutive naturals, for example, 296047 + ... + 296190.

Almost surely, 242641064 is an apocalyptic number.

It is an amenable number.

42641064 is an abundant number, since it is smaller than the sum of its proper divisors (72845346).

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

42641064 is a wasteful number, since it uses less digits than its factorization.

42641064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592249 (or 592242 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42641064 is about 6530.0125574152. The cubic root of 42641064 is about 349.3622781926.

Adding to 42641064 its reverse (46014624), we get a palindrome (88655688).

The spelling of 42641064 in words is "forty-two million, six hundred forty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 592237 1184474 1776711 2368948 3553422 4737896 5330133 7106844 10660266 14213688 21320532 42641064