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442686244 = 2271121319232
BaseRepresentation
bin11010011000101…
…101101100100100
31010211222210100211
4122120231230210
51401311424434
6111532145204
713653525310
oct3230555444
91124883324
10442686244
11207980800
12104308204
1370938a30
1442b16b40
1528ce6464
hex1a62db24

442686244 has 216 divisors, whose sum is σ = 1153248320. Its totient is φ = 144270720.

The previous prime is 442686203. The next prime is 442686259.

It is a happy number.

442686244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4426862442 = 391942221253655072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442686197 and 442686206.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19247217 + ... + 19247239.

Almost surely, 2442686244 is an apocalyptic number.

442686244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442686244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576624160).

442686244 is an abundant number, since it is smaller than the sum of its proper divisors (710562076).

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

442686244 is a wasteful number, since it uses less digits than its factorization.

442686244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 75 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

The square root of 442686244 is about 21040.1103609273. The cubic root of 442686244 is about 762.1351799175.

It can be divided in two parts, 442 and 686244, that added together give a palindrome (686686).

The spelling of 442686244 in words is "four hundred forty-two million, six hundred eighty-six thousand, two hundred forty-four".