Search a number
-
+
3056190456 = 23311711031583
BaseRepresentation
bin1011011000101001…
…1100001111111000
321212222202120011010
42312022130033320
522224341043311
61223132433520
7135510122154
oct26612341770
97788676133
103056190456
11132915a140
127136188a0
13399229527
1420dc72064
1512d492da6
hexb629c3f8

3056190456 has 128 divisors (see below), whose sum is σ = 8539914240. Its totient is φ = 903638400.

The previous prime is 3056190443. The next prime is 3056190497. The reversal of 3056190456 is 6540916503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1929841 + ... + 1931423.

It is an arithmetic number, because the mean of its divisors is an integer number (66718080).

Almost surely, 23056190456 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 3056190456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269957120).

3056190456 is an abundant number, since it is smaller than the sum of its proper divisors (5483723784).

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

3056190456 is a wasteful number, since it uses less digits than its factorization.

3056190456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 3056190456 is about 55282.8224315655. The cubic root of 3056190456 is about 1451.1984473212.

The spelling of 3056190456 in words is "three billion, fifty-six million, one hundred ninety thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 103 132 142 206 213 264 284 309 412 426 568 618 781 824 852 1133 1236 1562 1583 1704 2266 2343 2472 3124 3166 3399 4532 4686 4749 6248 6332 6798 7313 9064 9372 9498 12664 13596 14626 17413 18744 18996 21939 27192 29252 34826 37992 43878 52239 58504 69652 80443 87756 104478 112393 139304 160886 163049 175512 208956 224786 241329 321772 326098 337179 417912 449572 482658 489147 643544 652196 674358 899144 965316 978294 1236323 1304392 1348716 1793539 1930632 1956588 2472646 2697432 3587078 3708969 3913176 4945292 5380617 7174156 7417938 9890584 10761234 11576479 14348312 14835876 21522468 23152958 29671752 34729437 43044936 46305916 69458874 92611832 127341269 138917748 254682538 277835496 382023807 509365076 764047614 1018730152 1528095228 3056190456