Search a number
-
+
1050064992 = 25332574729
BaseRepresentation
bin111110100101101…
…011100001100000
32201011212211101000
4332211223201200
54122304034432
6252110312000
735010255654
oct7645534140
92634784330
101050064992
11499809409
122537b8600
13139719042
149d660a64
15622c057c
hex3e96b860

1050064992 has 96 divisors (see below), whose sum is σ = 3075256800. Its totient is φ = 348585984.

The previous prime is 1050064957. The next prime is 1050065057. The reversal of 1050064992 is 2994600501.

1050064992 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 0 + 649 + 9 + 2 = 666.

1050064992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10500649922 = 2205272974847920128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219684 + ... + 224412.

It is an arithmetic number, because the mean of its divisors is an integer number (32033925).

Almost surely, 21050064992 is an apocalyptic number.

1050064992 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 1050064992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537628400).

1050064992 is an abundant number, since it is smaller than the sum of its proper divisors (2025191808).

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

1050064992 is a wasteful number, since it uses less digits than its factorization.

1050064992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1050064992 is about 32404.7063248535. The cubic root of 1050064992 is about 1016.4173270590.

The spelling of 1050064992 in words is "one billion, fifty million, sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 257 288 432 514 771 864 1028 1542 2056 2313 3084 4112 4626 4729 6168 6939 8224 9252 9458 12336 13878 14187 18504 18916 24672 27756 28374 37008 37832 42561 55512 56748 74016 75664 85122 111024 113496 127683 151328 170244 222048 226992 255366 340488 453984 510732 680976 1021464 1215353 1361952 2042928 2430706 3646059 4085856 4861412 7292118 9722824 10938177 14584236 19445648 21876354 29168472 32814531 38891296 43752708 58336944 65629062 87505416 116673888 131258124 175010832 262516248 350021664 525032496 1050064992