Search a number
-
+
4885885884 = 22311173117001
BaseRepresentation
bin1001000110011100…
…01011001110111100
3110121111122201102110
410203032023032330
540001241322014
62124453254020
7232035226155
oct44316131674
913544581373
104885885884
112087a56420
12b44334310
135cb315a49
14344c7892c
151d8e14d59
hex12338b3bc

4885885884 has 96 divisors (see below), whose sum is σ = 13212605952. Its totient is φ = 1388800000.

The previous prime is 4885885861. The next prime is 4885885889.

4885885884 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×48858858842 = 47743761742940922912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4885885889) 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, 694384 + ... + 701384.

It is an arithmetic number, because the mean of its divisors is an integer number (137631312).

Almost surely, 24885885884 is an apocalyptic number.

4885885884 is a gapful number since it is divisible by the number (44) 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 4885885884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606302976).

4885885884 is an abundant number, since it is smaller than the sum of its proper divisors (8326720068).

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

4885885884 is a wasteful number, since it uses less digits than its factorization.

4885885884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7347 (or 7345 counting only the distinct ones).

The product of its digits is 104857600, while the sum is 66.

The square root of 4885885884 is about 69899.1121832030. The cubic root of 4885885884 is about 1696.8668801513.

The spelling of 4885885884 in words is "four billion, eight hundred eighty-five million, eight hundred eighty-five thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 311 374 561 622 748 933 1122 1244 1866 2244 3421 3732 5287 6842 7001 10263 10574 13684 14002 15861 20526 21003 21148 28004 31722 41052 42006 58157 63444 77011 84012 116314 119017 154022 174471 231033 232628 238034 308044 348942 357051 462066 476068 697884 714102 924132 1309187 1428204 2177311 2618374 3927561 4354622 5236748 6531933 7855122 8709244 13063866 15710244 23950421 26127732 37014287 47900842 71851263 74028574 95801684 111042861 143702526 148057148 222085722 287405052 407157157 444171444 814314314 1221471471 1628628628 2442942942 4885885884