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444040260 = 2235191273067
BaseRepresentation
bin11010011101111…
…000010001000100
31010221112120201120
4122131320101010
51402133242020
6112021153540
714001165006
oct3235702104
91127476646
10444040260
11208716024
1210485b8b0
1370cc1121
1442d8a376
1528eb2740
hex1a778444

444040260 has 96 divisors (see below), whose sum is σ = 1319485440. Its totient is φ = 111259008.

The previous prime is 444040237. The next prime is 444040327. The reversal of 444040260 is 62040444.

It is a self number, because there is not a number n which added to its sum of digits gives 444040260.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143247 + ... + 146313.

It is an arithmetic number, because the mean of its divisors is an integer number (13744640).

Almost surely, 2444040260 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 444040260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659742720).

444040260 is an abundant number, since it is smaller than the sum of its proper divisors (875445180).

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

444040260 is a wasteful number, since it uses less digits than its factorization.

444040260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 444040260 is about 21072.2628115729. The cubic root of 444040260 is about 762.9114203610.

The spelling of 444040260 in words is "four hundred forty-four million, forty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 127 190 228 254 285 380 381 508 570 635 762 1140 1270 1524 1905 2413 2540 3067 3810 4826 6134 7239 7620 9201 9652 12065 12268 14478 15335 18402 24130 28956 30670 36195 36804 46005 48260 58273 61340 72390 92010 116546 144780 174819 184020 233092 291365 349638 389509 582730 699276 779018 874095 1165460 1168527 1558036 1748190 1947545 2337054 3496380 3895090 4674108 5842635 7400671 7790180 11685270 14801342 22202013 23370540 29602684 37003355 44404026 74006710 88808052 111010065 148013420 222020130 444040260