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42813640 = 2351070341
BaseRepresentation
bin1010001101010…
…0100011001000
32222120011021101
42203110203020
541430014030
64125351144
71026624052
oct243244310
988504241
1042813640
1122192581
12124084b4
138b4041c
1459868d2
153b5a7ca
hex28d48c8

42813640 has 16 divisors (see below), whose sum is σ = 96330780. Its totient is φ = 17125440.

The previous prime is 42813637. The next prime is 42813653. The reversal of 42813640 is 4631824.

It can be written as a sum of positive squares in 2 ways, for example, as 42797764 + 15876 = 6542^2 + 126^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42813599 and 42813608.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 535131 + ... + 535210.

Almost surely, 242813640 is an apocalyptic number.

42813640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42813640 is an abundant number, since it is smaller than the sum of its proper divisors (53517140).

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

42813640 is a wasteful number, since it uses less digits than its factorization.

42813640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070352 (or 1070348 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 42813640 is about 6543.2132778934. The cubic root of 42813640 is about 349.8329542998.

It can be divided in two parts, 4281 and 3640, that added together give a square (7921 = 892).

The spelling of 42813640 in words is "forty-two million, eight hundred thirteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1070341 2140682 4281364 5351705 8562728 10703410 21406820 42813640