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42660592 = 2413317647
BaseRepresentation
bin1010001010111…
…1001011110000
32222021101022221
42202233023300
541410114332
64122210424
71025415622
oct242571360
988241287
1042660592
1122098597
1212353a14
138ab8870
145946c12
153b2a297
hex28af2f0

42660592 has 40 divisors (see below), whose sum is σ = 89431776. Its totient is φ = 19597056.

The previous prime is 42660571. The next prime is 42660641. The reversal of 42660592 is 29506624.

42660592 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 2×426605922 = 3639852219580928, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 65613 + ... + 66259.

Almost surely, 242660592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42660592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44715888).

42660592 is an abundant number, since it is smaller than the sum of its proper divisors (46771184).

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

42660592 is a wasteful number, since it uses less digits than its factorization.

42660592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 42660592 is about 6531.5076360669. The cubic root of 42660592 is about 349.4156016383.

The spelling of 42660592 in words is "forty-two million, six hundred sixty thousand, five hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 317 634 647 1268 1294 2536 2588 4121 5072 5176 8242 8411 10352 16484 16822 32968 33644 65936 67288 134576 205099 410198 820396 1640792 2666287 3281584 5332574 10665148 21330296 42660592