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42713680 = 245533921
BaseRepresentation
bin1010001011110…
…0001001010000
32222101002011011
42202330021100
541413314210
64123300304
71026026452
oct242741120
988332134
1042713680
1122124469
121237a694
138b06a89
14595c2d2
153b3ad8a
hex28bc250

42713680 has 20 divisors (see below), whose sum is σ = 99309492. Its totient is φ = 17085440.

The previous prime is 42713669. The next prime is 42713683. The reversal of 42713680 is 8631724.

It can be written as a sum of positive squares in 2 ways, for example, as 16744464 + 25969216 = 4092^2 + 5096^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42713683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 266881 + ... + 267040.

Almost surely, 242713680 is an apocalyptic number.

42713680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42713680 is an abundant number, since it is smaller than the sum of its proper divisors (56595812).

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

42713680 is a wasteful number, since it uses less digits than its factorization.

42713680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533934 (or 533928 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 42713680 is about 6535.5703653163. The cubic root of 42713680 is about 349.5604823138.

The spelling of 42713680 in words is "forty-two million, seven hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 533921 1067842 2135684 2669605 4271368 5339210 8542736 10678420 21356840 42713680