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42505640 = 2351099749
BaseRepresentation
bin1010001000100…
…1010110101000
32221222111202222
42202021112220
541340140030
64115013212
71024202102
oct242112650
987874688
1042505640
1121aa2131
121229a208
138a63188
145906572
153ae93e5
hex28895a8

42505640 has 32 divisors (see below), whose sum is σ = 96525000. Its totient is φ = 16844544.

The previous prime is 42505621. The next prime is 42505649. The reversal of 42505640 is 4650524.

It can be written as a sum of positive squares in 4 ways, for example, as 30492484 + 12013156 = 5522^2 + 3466^2 .

It is not an unprimeable number, because it can be changed into a prime (42505649) 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, 515 + ... + 9234.

Almost surely, 242505640 is an apocalyptic number.

42505640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42505640 is an abundant number, since it is smaller than the sum of its proper divisors (54019360).

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

42505640 is a wasteful number, since it uses less digits than its factorization.

42505640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9869 (or 9865 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 42505640 is about 6519.6349591062. The cubic root of 42505640 is about 348.9920387453.

The spelling of 42505640 in words is "forty-two million, five hundred five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 2180 4360 9749 19498 38996 48745 77992 97490 194980 389960 1062641 2125282 4250564 5313205 8501128 10626410 21252820 42505640