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42540020 = 2257329137
BaseRepresentation
bin1010001001000…
…1101111110100
32222001020221022
42202101233310
541342240040
64115440312
71024404245
oct242215764
988036838
1042540020
1122015a46
12122b6098
138a75a13
145914ccc
153b046b5
hex2891bf4

42540020 has 24 divisors (see below), whose sum is σ = 90560904. Its totient is φ = 16782336.

The previous prime is 42540019. The next prime is 42540037. The reversal of 42540020 is 2004524.

42540020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13853284 + 28686736 = 3722^2 + 5356^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13109 + ... + 16028.

It is an arithmetic number, because the mean of its divisors is an integer number (3773371).

Almost surely, 242540020 is an apocalyptic number.

It is an amenable number.

42540020 is an abundant number, since it is smaller than the sum of its proper divisors (48020884).

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

42540020 is a wasteful number, since it uses less digits than its factorization.

42540020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29219 (or 29217 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 42540020 is about 6522.2710768566. The cubic root of 42540020 is about 349.0861055786.

Adding to 42540020 its reverse (2004524), we get a palindrome (44544544).

The spelling of 42540020 in words is "forty-two million, five hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 29137 58274 116548 145685 291370 582740 2127001 4254002 8508004 10635005 21270010 42540020