Search a number
-
+
1056611622 = 231119261727
BaseRepresentation
bin111110111110101…
…001110100100110
32201122012102122210
4332332221310212
54130443032442
6252502504250
735120023233
oct7676516446
92648172583
101056611622
114a247aa50
12255a35086
1313ab9baa1
14a048678a
1562b6519c
hex3efa9d26

1056611622 has 96 divisors (see below), whose sum is σ = 2476341504. Its totient is φ = 297950400.

The previous prime is 1056611617. The next prime is 1056611669. The reversal of 1056611622 is 2261166501.

It is a super-2 number, since 2×10566116222 = 2232856239490941768, 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 1056611622.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1453023 + ... + 1453749.

It is an arithmetic number, because the mean of its divisors is an integer number (25795224).

Almost surely, 21056611622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056611622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238170752).

1056611622 is an abundant number, since it is smaller than the sum of its proper divisors (1419729882).

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

1056611622 is a wasteful number, since it uses less digits than its factorization.

1056611622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1056611622 is about 32505.5629392878. The cubic root of 1056611622 is about 1018.5252370674.

The spelling of 1056611622 in words is "one billion, fifty-six million, six hundred eleven thousand, six hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 61 66 114 122 183 209 361 366 418 627 671 722 727 1083 1159 1254 1342 1454 2013 2166 2181 2318 3477 3971 4026 4362 6954 7942 7997 11913 12749 13813 15994 22021 23826 23991 25498 27626 38247 41439 44042 44347 47982 66063 76494 82878 88694 132126 133041 151943 242231 262447 266082 303886 455829 484462 487817 524894 726693 787341 842593 911658 975634 1453386 1463451 1574682 1685186 2527779 2886917 2926902 5055558 5773834 8660751 9268523 16009267 17321502 18537046 27805569 32018534 48027801 55611138 96055602 176101937 352203874 528305811 1056611622