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42607572 = 22373713709
BaseRepresentation
bin1010001010001…
…0001111010100
32222011200121020
42202202033110
541401420242
64121121140
71025105220
oct242421724
988150536
1042607572
1122061777
12123291b0
138a9a6a7
145931780
153b196ec
hex28a23d4

42607572 has 48 divisors (see below), whose sum is σ = 116699520. Its totient is φ = 11843712.

The previous prime is 42607571. The next prime is 42607573. The reversal of 42607572 is 27570624.

It is an interprime number because it is at equal distance from previous prime (42607571) and next prime (42607573).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42607571) 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, 3747 + ... + 9962.

It is an arithmetic number, because the mean of its divisors is an integer number (2431240).

Almost surely, 242607572 is an apocalyptic number.

42607572 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42607572 is an abundant number, since it is smaller than the sum of its proper divisors (74091948).

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

42607572 is a wasteful number, since it uses less digits than its factorization.

42607572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13760 (or 13758 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 42607572 is about 6527.4475869209. The cubic root of 42607572 is about 349.2707865248.

The spelling of 42607572 in words is "forty-two million, six hundred seven thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 3108 13709 27418 41127 54836 82254 95963 164508 191926 287889 383852 507233 575778 1014466 1151556 1521699 2028932 3043398 3550631 6086796 7101262 10651893 14202524 21303786 42607572