Search a number
-
+
2072424882 = 2311173475323
BaseRepresentation
bin111101110000110…
…1011000110110010
312100102122002111010
41323201223012302
513221020044012
6541351131350
7102233215023
oct17341530662
95312562433
102072424882
11973914540
1249a073b56
13270484818
1415934cc4a
15c1e1bc3c
hex7b86b1b2

2072424882 has 64 divisors (see below), whose sum is σ = 4802333184. Its totient is φ = 589251840.

The previous prime is 2072424839. The next prime is 2072424889. The reversal of 2072424882 is 2884242702.

It is a self number, because there is not a number n which added to its sum of digits gives 2072424882.

It is not an unprimeable number, because it can be changed into a prime (2072424889) 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 31 ways as a sum of consecutive naturals, for example, 386673 + ... + 391995.

It is an arithmetic number, because the mean of its divisors is an integer number (75036456).

Almost surely, 22072424882 is an apocalyptic number.

2072424882 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2072424882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401166592).

2072424882 is an abundant number, since it is smaller than the sum of its proper divisors (2729908302).

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

2072424882 is a wasteful number, since it uses less digits than its factorization.

2072424882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5703.

The product of its (nonzero) digits is 114688, while the sum is 39.

The square root of 2072424882 is about 45523.8935285637. The cubic root of 2072424882 is about 1274.9493522365.

The spelling of 2072424882 in words is "two billion, seventy-two million, four hundred twenty-four thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 347 374 561 694 1041 1122 2082 3817 5323 5899 7634 10646 11451 11798 15969 17697 22902 31938 35394 58553 64889 90491 117106 129778 175659 180982 194667 271473 351318 389334 542946 995401 1847081 1990802 2986203 3694162 5541243 5972406 11082486 20317891 31400377 40635782 60953673 62800754 94201131 121907346 188402262 345404147 690808294 1036212441 2072424882