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42709640 = 2351067741
BaseRepresentation
bin1010001011101…
…1001010001000
32222100212121112
42202323022020
541413202030
64123225452
71026011621
oct242731210
988325545
1042709640
1122121426
1212378288
138b04c9c
14595aa48
153b39a95
hex28bb288

42709640 has 16 divisors (see below), whose sum is σ = 96096780. Its totient is φ = 17083840.

The previous prime is 42709637. The next prime is 42709651. The reversal of 42709640 is 4690724.

It can be written as a sum of positive squares in 2 ways, for example, as 34880836 + 7828804 = 5906^2 + 2798^2 .

It is a super-2 number, since 2×427096402 = 3648226697859200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42709597 and 42709606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 533831 + ... + 533910.

Almost surely, 242709640 is an apocalyptic number.

42709640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42709640 is an abundant number, since it is smaller than the sum of its proper divisors (53387140).

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

42709640 is a wasteful number, since it uses less digits than its factorization.

42709640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067752 (or 1067748 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 42709640 is about 6535.2612801632. The cubic root of 42709640 is about 349.5494611072.

The spelling of 42709640 in words is "forty-two million, seven hundred nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1067741 2135482 4270964 5338705 8541928 10677410 21354820 42709640