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444113032 = 2311172831049
BaseRepresentation
bin11010011110001…
…010000010001000
31010221200021112211
4122132022002020
51402143104112
6112022514504
714001620116
oct3236120210
91127607484
10444113032
11208765770
12104895a34
137101829c
1442da8ab6
1528ec90a7
hex1a78a088

444113032 has 64 divisors (see below), whose sum is σ = 966168000. Its totient is φ = 189143040.

The previous prime is 444113029. The next prime is 444113071. The reversal of 444113032 is 230311444.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 444112994 and 444113012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422844 + ... + 423892.

It is an arithmetic number, because the mean of its divisors is an integer number (15096375).

Almost surely, 2444113032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483084000).

444113032 is an abundant number, since it is smaller than the sum of its proper divisors (522054968).

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

444113032 is a wasteful number, since it uses less digits than its factorization.

444113032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 444113032 is about 21073.9894656897. The cubic root of 444113032 is about 762.9530949284.

Adding to 444113032 its reverse (230311444), we get a palindrome (674424476).

The spelling of 444113032 in words is "four hundred forty-four million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 283 374 566 748 1049 1132 1496 2098 2264 3113 4196 4811 6226 8392 9622 11539 12452 17833 19244 23078 24904 35666 38488 46156 52921 71332 92312 105842 142664 196163 211684 296867 392326 423368 593734 784652 1187468 1569304 2374936 3265537 5046739 6531074 10093478 13062148 20186956 26124296 40373912 55514129 111028258 222056516 444113032