Search a number
-
+
859221968 = 241123471279
BaseRepresentation
bin110011001101101…
…010111111010000
32012212202222221212
4303031222333100
53224430100333
6221132035252
730202160213
oct6315527720
92185688855
10859221968
11401010200
121bb902b28
13109019987
148218377a
1550674448
hex3336afd0

859221968 has 60 divisors (see below), whose sum is σ = 1836549120. Its totient is φ = 389125440.

The previous prime is 859221943. The next prime is 859221977. The reversal of 859221968 is 869122958.

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 11 ways as a sum of consecutive naturals, for example, 671153 + ... + 672431.

It is an arithmetic number, because the mean of its divisors is an integer number (30609152).

Almost surely, 2859221968 is an apocalyptic number.

859221968 is a gapful number since it is divisible by the number (88) 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 859221968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918274560).

859221968 is an abundant number, since it is smaller than the sum of its proper divisors (977327152).

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

859221968 is a wasteful number, since it uses less digits than its factorization.

859221968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1639 counting only the distinct ones).

The product of its digits is 622080, while the sum is 50.

The square root of 859221968 is about 29312.4882601256. The cubic root of 859221968 is about 950.6816780540.

The spelling of 859221968 in words is "eight hundred fifty-nine million, two hundred twenty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 347 484 694 968 1279 1388 1936 2558 2776 3817 5116 5552 7634 10232 14069 15268 20464 28138 30536 41987 56276 61072 83974 112552 154759 167948 225104 309518 335896 443813 619036 671792 887626 1238072 1775252 2476144 3550504 4881943 7101008 9763886 19527772 39055544 53701373 78111088 107402746 214805492 429610984 859221968