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42535540 = 22513731549
BaseRepresentation
bin1010001001000…
…0101001110100
32222001000210101
42202100221310
541342114130
64115403444
71024355215
oct242205164
988030711
1042535540
1122012643
12122b3584
138a73978
14591340c
153b031ca
hex2890a74

42535540 has 24 divisors (see below), whose sum is σ = 89447400. Its totient is φ = 16990848.

The previous prime is 42535499. The next prime is 42535541. The reversal of 42535540 is 4553524.

It can be written as a sum of positive squares in 4 ways, for example, as 12702096 + 29833444 = 3564^2 + 5462^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42535499 and 42535508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42535541) 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, 26686 + ... + 28234.

It is an arithmetic number, because the mean of its divisors is an integer number (3726975).

Almost surely, 242535540 is an apocalyptic number.

It is an amenable number.

42535540 is an abundant number, since it is smaller than the sum of its proper divisors (46911860).

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

42535540 is a wasteful number, since it uses less digits than its factorization.

42535540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 42535540 is about 6521.9276291600. The cubic root of 42535540 is about 349.0738507602.

The spelling of 42535540 in words is "forty-two million, five hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 1373 1549 2746 3098 5492 6196 6865 7745 13730 15490 27460 30980 2126777 4253554 8507108 10633885 21267770 42535540