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42653660 = 22571991531
BaseRepresentation
bin1010001010110…
…1011111011100
32222021000211012
42202231133130
541404404120
64122114352
71025356460
oct242553734
988230735
1042653660
1122093365
121234b9b8
138ab566a
1459444a0
153b281c5
hex28ad7dc

42653660 has 48 divisors (see below), whose sum is σ = 102950400. Its totient is φ = 14541120.

The previous prime is 42653641. The next prime is 42653671. The reversal of 42653660 is 6635624.

It is a super-2 number, since 2×426536602 = 3638669422791200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27095 + ... + 28625.

It is an arithmetic number, because the mean of its divisors is an integer number (2144800).

Almost surely, 242653660 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 42653660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51475200).

42653660 is an abundant number, since it is smaller than the sum of its proper divisors (60296740).

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

42653660 is a wasteful number, since it uses less digits than its factorization.

42653660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 42653660 is about 6530.9769560151. The cubic root of 42653660 is about 349.3966748799.

The spelling of 42653660 in words is "forty-two million, six hundred fifty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 199 398 796 995 1393 1531 1990 2786 3062 3980 5572 6124 6965 7655 10717 13930 15310 21434 27860 30620 42868 53585 107170 214340 304669 609338 1218676 1523345 2132683 3046690 4265366 6093380 8530732 10663415 21326830 42653660