Search a number
-
+
1444331892 = 2231929613581
BaseRepresentation
bin101011000010110…
…1100000101110100
310201122202122212210
41112011230011310
510424222110032
6355153013420
750535422103
oct12605540564
93648678783
101444331892
11681318a23
12343854270
131a0300c73
14d9b7203a
1586c002cc
hex5616c174

1444331892 has 96 divisors (see below), whose sum is σ = 3731011200. Its totient is φ = 433036800.

The previous prime is 1444331879. The next prime is 1444331923. The reversal of 1444331892 is 2981334441.

It is a super-2 number, since 2×14443318922 = 4172189228496599328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1444331892.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401542 + ... + 405122.

It is an arithmetic number, because the mean of its divisors is an integer number (38864700).

Almost surely, 21444331892 is an apocalyptic number.

1444331892 is a gapful number since it is divisible by the number (12) 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 1444331892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865505600).

1444331892 is an abundant number, since it is smaller than the sum of its proper divisors (2286679308).

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

1444331892 is a wasteful number, since it uses less digits than its factorization.

1444331892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697 (or 3695 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 1444331892 is about 38004.3667490987. The cubic root of 1444331892 is about 1130.3744528725.

It can be divided in two parts, 1444 and 331892, that added together give a triangular number (333336 = T816).

The spelling of 1444331892 in words is "one billion, four hundred forty-four million, three hundred thirty-one thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 61 76 87 114 116 122 174 183 228 244 348 366 551 732 1102 1159 1653 1769 2204 2318 3306 3477 3538 3581 4636 5307 6612 6954 7076 7162 10614 10743 13908 14324 21228 21486 33611 42972 67222 68039 100833 103849 134444 136078 201666 204117 207698 218441 272156 311547 403332 408234 415396 436882 623094 655323 816468 873764 1246188 1310646 1973131 2621292 3946262 4150379 5919393 6334789 7892524 8300758 11838786 12451137 12669578 16601516 19004367 23677572 24902274 25339156 38008734 49804548 76017468 120360991 240721982 361082973 481443964 722165946 1444331892