Search a number
-
+
1993744044 = 223531127521
BaseRepresentation
bin111011011010110…
…0001111010101100
312010221120200200000
41312311201322230
513040344302134
6525500504300
7100256354565
oct16665417254
95127520600
101993744044
11933464456
1247784b090
1325a096a06
1414cb0b16c
15ba078e99
hex76d61eac

1993744044 has 144 divisors (see below), whose sum is σ = 5447909376. Its totient is φ = 636854400.

The previous prime is 1993744033. The next prime is 1993744057. The reversal of 1993744044 is 4404473991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3826504 + ... + 3827024.

It is an arithmetic number, because the mean of its divisors is an integer number (37832704).

Almost surely, 21993744044 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 1993744044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723954688).

1993744044 is an abundant number, since it is smaller than the sum of its proper divisors (3454165332).

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

1993744044 is a wasteful number, since it uses less digits than its factorization.

1993744044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1993744044 is about 44651.3610542837. The cubic root of 1993744044 is about 1258.6060093591.

The spelling of 1993744044 in words is "one billion, nine hundred ninety-three million, seven hundred forty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 127 162 186 243 254 279 324 372 381 486 508 521 558 762 837 972 1042 1116 1143 1524 1563 1674 2084 2286 2511 3126 3348 3429 3937 4572 4689 5022 6252 6858 7533 7874 9378 10044 10287 11811 13716 14067 15066 15748 16151 18756 20574 23622 28134 30132 30861 32302 35433 41148 42201 47244 48453 56268 61722 64604 66167 70866 84402 96906 106299 123444 126603 132334 141732 145359 168804 193812 198501 212598 253206 264668 290718 318897 397002 425196 436077 506412 581436 595503 637794 794004 872154 956691 1191006 1275588 1308231 1744308 1786509 1913382 2051177 2382012 2616462 3573018 3826764 3924693 4102354 5232924 5359527 6153531 7146036 7849386 8204708 10719054 12307062 15698772 16078581 18460593 21438108 24614124 32157162 36921186 55381779 64314324 73842372 110763558 166145337 221527116 332290674 498436011 664581348 996872022 1993744044