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2042242420 = 225102112121
BaseRepresentation
bin111100110111010…
…0010010101110100
312021022211122221011
41321232202111310
513140303224140
6534352202004
7101415526351
oct17156422564
95238748834
102042242420
11958879a59
1248bb39304
1326714778a
14155333628
15be458cea
hex79ba2574

2042242420 has 12 divisors (see below), whose sum is σ = 4288709124. Its totient is φ = 816896960.

The previous prime is 2042242373. The next prime is 2042242429. The reversal of 2042242420 is 242422402.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1183635216 + 858607204 = 34404^2 + 29302^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2042242391 and 2042242400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042242429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51056041 + ... + 51056080.

It is an arithmetic number, because the mean of its divisors is an integer number (357392427).

Almost surely, 22042242420 is an apocalyptic number.

2042242420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042242420 is an abundant number, since it is smaller than the sum of its proper divisors (2246466704).

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

2042242420 is a wasteful number, since it uses less digits than its factorization.

2042242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102112130 (or 102112128 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 2042242420 is about 45191.1763511418. The cubic root of 2042242420 is about 1268.7296740335.

Adding to 2042242420 its reverse (242422402), we get a palindrome (2284664822).

The spelling of 2042242420 in words is "two billion, forty-two million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 102112121 204224242 408448484 510560605 1021121210 2042242420