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42002424 = 2332583367
BaseRepresentation
bin1010000000111…
…0011111111000
32221000221111100
42200032133320
541223034144
64100131400
71020005022
oct240163770
987027440
1042002424
1121789052
1212096b60
138918109
145815012
153a4a269
hex280e7f8

42002424 has 24 divisors (see below), whose sum is σ = 113756760. Its totient is φ = 14000784.

The previous prime is 42002383. The next prime is 42002431. The reversal of 42002424 is 42420024.

42002424 is a `hidden beast` number, since 420 + 0 + 242 + 4 = 666.

42002424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42002397 and 42002406.

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 5 ways as a sum of consecutive naturals, for example, 291612 + ... + 291755.

It is an arithmetic number, because the mean of its divisors is an integer number (4739865).

Almost surely, 242002424 is an apocalyptic number.

It is an amenable number.

42002424 is an abundant number, since it is smaller than the sum of its proper divisors (71754336).

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

42002424 is a wasteful number, since it uses less digits than its factorization.

42002424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583379 (or 583372 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 42002424 is about 6480.9277113697. The cubic root of 42002424 is about 347.6093515732.

Adding to 42002424 its reverse (42420024), we get a palindrome (84422448).

The spelling of 42002424 in words is "forty-two million, two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 583367 1166734 1750101 2333468 3500202 4666936 5250303 7000404 10500606 14000808 21001212 42002424