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42257540 = 22513162529
BaseRepresentation
bin1010000100110…
…0110010000100
32221111220110002
42201030302010
541304220130
64105420432
71022116553
oct241146204
987456402
1042257540
1121942796
121219a718
1389a7280
14587dd9a
153a9ab45
hex284cc84

42257540 has 24 divisors (see below), whose sum is σ = 95567640. Its totient is φ = 15602688.

The previous prime is 42257507. The next prime is 42257549. The reversal of 42257540 is 4575224.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 861184 + 41396356 = 928^2 + 6434^2 .

It is not an unprimeable number, because it can be changed into a prime (42257549) 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, 81005 + ... + 81524.

It is an arithmetic number, because the mean of its divisors is an integer number (3981985).

Almost surely, 242257540 is an apocalyptic number.

It is an amenable number.

42257540 is an abundant number, since it is smaller than the sum of its proper divisors (53310100).

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

42257540 is a wasteful number, since it uses less digits than its factorization.

42257540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162551 (or 162549 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 42257540 is about 6500.5799741254. The cubic root of 42257540 is about 348.3117060103.

The spelling of 42257540 in words is "forty-two million, two hundred fifty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 162529 325058 650116 812645 1625290 2112877 3250580 4225754 8451508 10564385 21128770 42257540