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42002420 = 2252100121
BaseRepresentation
bin1010000000111…
…0011111110100
32221000221111012
42200032133310
541223034140
64100131352
71020005015
oct240163764
987027435
1042002420
1121789049
1212096b58
138918105
14581500c
153a4a265
hex280e7f4

42002420 has 12 divisors (see below), whose sum is σ = 88205124. Its totient is φ = 16800960.

The previous prime is 42002383. The next prime is 42002431. The reversal of 42002420 is 2420024.

It is a happy number.

42002420 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 2 ways, for example, as 28665316 + 13337104 = 5354^2 + 3652^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42002395 and 42002404.

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 3 ways as a sum of consecutive naturals, for example, 1050041 + ... + 1050080.

It is an arithmetic number, because the mean of its divisors is an integer number (7350427).

Almost surely, 242002420 is an apocalyptic number.

It is an amenable number.

42002420 is an abundant number, since it is smaller than the sum of its proper divisors (46202704).

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

42002420 is a wasteful number, since it uses less digits than its factorization.

42002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100130 (or 2100128 counting only the distinct ones).

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

The square root of 42002420 is about 6480.9274027719. The cubic root of 42002420 is about 347.6093405386.

Adding to 42002420 its reverse (2420024), we get a palindrome (44422444).

The spelling of 42002420 in words is "forty-two million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 2100121 4200242 8400484 10500605 21001210 42002420