Search a number
-
+
1942639512 = 2331123072179
BaseRepresentation
bin111001111001010…
…0101001110011000
312000101102022102120
41303302211032120
512434303431022
6520433301240
766066110022
oct16362451630
95011368376
101942639512
11907629900
12462704820
1324c612948
14146007012
15b5831d5c
hex73ca5398

1942639512 has 96 divisors (see below), whose sum is σ = 5358091200. Its totient is φ = 586491840.

The previous prime is 1942639511. The next prime is 1942639541. The reversal of 1942639512 is 2159362491.

1942639512 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1942639511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 890439 + ... + 892617.

It is an arithmetic number, because the mean of its divisors is an integer number (55813450).

Almost surely, 21942639512 is an apocalyptic number.

1942639512 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 1942639512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679045600).

1942639512 is an abundant number, since it is smaller than the sum of its proper divisors (3415451688).

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

1942639512 is a wasteful number, since it uses less digits than its factorization.

1942639512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2502 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 1942639512 is about 44075.3844226003. The cubic root of 1942639512 is about 1247.7590809194.

The spelling of 1942639512 in words is "one billion, nine hundred forty-two million, six hundred thirty-nine thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 307 363 484 614 726 921 968 1228 1452 1842 2179 2456 2904 3377 3684 4358 6537 6754 7368 8716 10131 13074 13508 17432 20262 23969 26148 27016 37147 40524 47938 52296 71907 74294 81048 95876 111441 143814 148588 191752 222882 263659 287628 297176 445764 527318 575256 668953 790977 891528 1054636 1337906 1581954 2006859 2109272 2675812 3163908 4013718 5351624 6327816 7358483 8027436 14716966 16054872 22075449 29433932 44150898 58867864 80943313 88301796 161886626 176603592 242829939 323773252 485659878 647546504 971319756 1942639512