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42413540 = 22513163129
BaseRepresentation
bin1010000111001…
…0110111100100
32221210211102212
42201302313210
541324213130
64113022552
71023336431
oct241626744
987724385
1042413540
1121a39a14
1212254a58
138a30290
1458c0b88
153acbe95
hex2872de4

42413540 has 24 divisors (see below), whose sum is σ = 95920440. Its totient is φ = 15660288.

The previous prime is 42413537. The next prime is 42413561. The reversal of 42413540 is 4531424.

42413540 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 7396 + 42406144 = 86^2 + 6512^2 .

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, 81305 + ... + 81824.

It is an arithmetic number, because the mean of its divisors is an integer number (3996685).

Almost surely, 242413540 is an apocalyptic number.

It is an amenable number.

42413540 is an abundant number, since it is smaller than the sum of its proper divisors (53506900).

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

42413540 is a wasteful number, since it uses less digits than its factorization.

42413540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163151 (or 163149 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 42413540 is about 6512.5678499345. The cubic root of 42413540 is about 348.7397944967.

Adding to 42413540 its reverse (4531424), we get a palindrome (46944964).

The spelling of 42413540 in words is "forty-two million, four hundred thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 163129 326258 652516 815645 1631290 2120677 3262580 4241354 8482708 10603385 21206770 42413540