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2042414032 = 24127650877
BaseRepresentation
bin111100110111100…
…1100001111010000
312021100011101100011
41321233030033100
513140324222112
6534400004304
7101420142601
oct17157141720
95240141304
102042414032
1195898698a
12490000694
132671a7919
14155379da8
15be48eaa7
hex79bcc3d0

2042414032 has 10 divisors (see below), whose sum is σ = 3957177218. Its totient is φ = 1021207008.

The previous prime is 2042414029. The next prime is 2042414039. The reversal of 2042414032 is 2304142402.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1334002576 + 708411456 = 36524^2 + 26616^2 .

It is a super-2 number, since 2×20424140322 = 8342910156220994048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2042413994 and 2042414012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042414039) 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 as a sum of consecutive naturals, namely, 63825423 + ... + 63825454.

Almost surely, 22042414032 is an apocalyptic number.

It is an amenable number.

2042414032 is a deficient number, since it is larger than the sum of its proper divisors (1914763186).

2042414032 is a wasteful number, since it uses less digits than its factorization.

2042414032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127650885 (or 127650879 counting only the distinct ones).

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

The square root of 2042414032 is about 45193.0750447455. The cubic root of 2042414032 is about 1268.7652106470.

Adding to 2042414032 its reverse (2304142402), we get a palindrome (4346556434).

The spelling of 2042414032 in words is "two billion, forty-two million, four hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 16 127650877 255301754 510603508 1021207016 2042414032