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42956680 = 2351382609
BaseRepresentation
bin1010001111011…
…1011110001000
32222211102111011
42203313132020
541444103210
64132413304
71031061064
oct243673610
988742434
1042956680
112227aa98
1212477234
138b90570
1459c2aa4
153b87d8a
hex28f7788

42956680 has 32 divisors (see below), whose sum is σ = 104088600. Its totient is φ = 15860736.

The previous prime is 42956647. The next prime is 42956681. The reversal of 42956680 is 8665924.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15729156 + 27227524 = 3966^2 + 5218^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (42956681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40785 + ... + 41824.

Almost surely, 242956680 is an apocalyptic number.

42956680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42956680 is an abundant number, since it is smaller than the sum of its proper divisors (61131920).

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

42956680 is a wasteful number, since it uses less digits than its factorization.

42956680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82633 (or 82629 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 42956680 is about 6554.1345729242. The cubic root of 42956680 is about 350.2221175130. Note that the first 3 decimals are identical.

The spelling of 42956680 in words is "forty-two million, nine hundred fifty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 82609 165218 330436 413045 660872 826090 1073917 1652180 2147834 3304360 4295668 5369585 8591336 10739170 21478340 42956680