Search a number
-
+
795422628 = 22327111322073
BaseRepresentation
bin101111011010010…
…010111110100100
32001102201122201100
4233122102332210
53112112011003
6210532400100
725465660260
oct5732227644
92042648640
10795422628
11378aa4880
121a2476030
13c8a3c5a0
14778d70a0
1549c70ba3
hex2f692fa4

795422628 has 144 divisors (see below), whose sum is σ = 2699738496. Its totient is φ = 190702080.

The previous prime is 795422627. The next prime is 795422647. The reversal of 795422628 is 826224597.

It is not an unprimeable number, because it can be changed into a prime (795422627) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 25000 + ... + 47072.

It is an arithmetic number, because the mean of its divisors is an integer number (18748184).

Almost surely, 2795422628 is an apocalyptic number.

795422628 is a gapful number since it is divisible by the number (78) 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 795422628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349869248).

795422628 is an abundant number, since it is smaller than the sum of its proper divisors (1904315868).

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

795422628 is a wasteful number, since it uses less digits than its factorization.

795422628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22114 (or 22109 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 795422628 is about 28203.2378992200. The cubic root of 795422628 is about 926.5438559075.

The spelling of 795422628 in words is "seven hundred ninety-five million, four hundred twenty-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 4004 5148 6006 9009 12012 18018 22073 36036 44146 66219 88292 132438 154511 198657 242803 264876 286949 309022 397314 463533 485606 573898 618044 728409 794628 860847 927066 971212 1147796 1390599 1456818 1699621 1721694 1854132 2008643 2185227 2582541 2781198 2913636 3156439 3399242 3443388 4017286 4370454 5098863 5165082 5562396 6025929 6312878 6798484 8034572 8740908 9469317 10197726 10330164 12051858 12625756 15296589 18077787 18938634 20395452 22095073 24103716 28407951 30593178 36155574 37877268 44190146 56815902 61186356 66285219 72311148 88380292 113631804 132570438 198855657 265140876 397711314 795422628