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442416126 = 23174439791
BaseRepresentation
bin11010010111101…
…011101111111110
31010211111001211110
4122113223233332
51401224304001
6111522302450
713651321635
oct3227535776
91124431743
10442416126
11207806869
121041b7a26
1370872ab9
1442a8651c
1528c913d6
hex1a5ebbfe

442416126 has 32 divisors (see below), whose sum is σ = 939091968. Its totient is φ = 138469760.

The previous prime is 442416113. The next prime is 442416133. The reversal of 442416126 is 621614244.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 442416093 and 442416102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40291 + ... + 50081.

It is an arithmetic number, because the mean of its divisors is an integer number (29346624).

Almost surely, 2442416126 is an apocalyptic number.

442416126 is an abundant number, since it is smaller than the sum of its proper divisors (496675842).

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

442416126 is a wasteful number, since it uses less digits than its factorization.

442416126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10256.

The product of its digits is 9216, while the sum is 30.

The square root of 442416126 is about 21033.6902611025. The cubic root of 442416126 is about 761.9801353313.

The spelling of 442416126 in words is "four hundred forty-two million, four hundred sixteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 17 34 51 102 443 886 1329 2658 7531 9791 15062 19582 22593 29373 45186 58746 166447 332894 499341 998682 4337413 8674826 13012239 26024478 73736021 147472042 221208063 442416126