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444001424 = 24192575683
BaseRepresentation
bin11010011101101…
…110110010010000
31010221110121110012
4122131232302100
51402131021144
6112020254052
714000643536
oct3235566220
91127417405
10444001424
11208699929
12104841328
1370ca9549
1442d7a156
1528ea5e9e
hex1a76ec90

444001424 has 40 divisors (see below), whose sum is σ = 909212640. Its totient is φ = 209461248.

The previous prime is 444001399. The next prime is 444001469. The reversal of 444001424 is 424100444.

It is a self number, because there is not a number n which added to its sum of digits gives 444001424.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75287 + ... + 80969.

It is an arithmetic number, because the mean of its divisors is an integer number (22730316).

Almost surely, 2444001424 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 444001424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454606320).

444001424 is an abundant number, since it is smaller than the sum of its proper divisors (465211216).

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

444001424 is a wasteful number, since it uses less digits than its factorization.

444001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5967 (or 5961 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 444001424 is about 21071.3412957030. The cubic root of 444001424 is about 762.8891781648.

Adding to 444001424 its reverse (424100444), we get a palindrome (868101868).

The spelling of 444001424 in words is "four hundred forty-four million, one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 257 304 514 1028 2056 4112 4883 5683 9766 11366 19532 22732 39064 45464 78128 90928 107977 215954 431908 863816 1460531 1727632 2921062 5842124 11684248 23368496 27750089 55500178 111000356 222000712 444001424