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42262420 = 2258292549
BaseRepresentation
bin1010000100110…
…1111110010100
32221112011010211
42201031332110
541304344140
64105455204
71022140024
oct241157624
987464124
1042262420
1121946422
12121a1504
1389a9565
145881a84
153a9c2ea
hex284df94

42262420 has 24 divisors (see below), whose sum is σ = 88893000. Its totient is φ = 16877952.

The previous prime is 42262397. The next prime is 42262427. The reversal of 42262420 is 2426224.

42262420 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 14002564 + 28259856 = 3742^2 + 5316^2 .

It is a super-2 number, since 2×422624202 = 3572224288512800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42262391 and 42262400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42262427) by changing a digit.

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, 15306 + ... + 17854.

It is an arithmetic number, because the mean of its divisors is an integer number (3703875).

Almost surely, 242262420 is an apocalyptic number.

It is an amenable number.

42262420 is an abundant number, since it is smaller than the sum of its proper divisors (46630580).

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

42262420 is a wasteful number, since it uses less digits than its factorization.

42262420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 42262420 is about 6500.9553144134. The cubic root of 42262420 is about 348.3251134456.

Adding to 42262420 its reverse (2426224), we get a palindrome (44688644).

The spelling of 42262420 in words is "forty-two million, two hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 829 1658 2549 3316 4145 5098 8290 10196 12745 16580 25490 50980 2113121 4226242 8452484 10565605 21131210 42262420