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42024020 = 2258923609
BaseRepresentation
bin1010000001001…
…1110001010100
32221002001010012
42200103301110
541224232040
64100415352
71020125003
oct240236124
987061105
1042024020
11217a32a5
12120a7558
138924bac
14581cc3a
153a51865
hex2813c54

42024020 has 24 divisors (see below), whose sum is σ = 89245800. Its totient is φ = 16620032.

The previous prime is 42024007. The next prime is 42024023. The reversal of 42024020 is 2042024.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59536 + 41964484 = 244^2 + 6478^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42023986 and 42024004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42024023) 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, 10025 + ... + 13584.

It is an arithmetic number, because the mean of its divisors is an integer number (3718575).

Almost surely, 242024020 is an apocalyptic number.

It is an amenable number.

42024020 is an abundant number, since it is smaller than the sum of its proper divisors (47221780).

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

42024020 is a wasteful number, since it uses less digits than its factorization.

42024020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23707 (or 23705 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 42024020 is about 6482.5936167556. The cubic root of 42024020 is about 347.6689170666.

Adding to 42024020 its reverse (2042024), we get a palindrome (44066044).

The spelling of 42024020 in words is "forty-two million, twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 23609 47218 94436 118045 236090 472180 2101201 4202402 8404804 10506005 21012010 42024020