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4928289444 = 22321323721893
BaseRepresentation
bin1001001011011111…
…11011101010100100
3110201110110001011200
410211233323222210
540043120230234
62133010202500
7233061524541
oct44557735244
913643401150
104928289444
1120a9988891
12b56583430
13607041600
1434a755bc8
151dc9ddd99
hex125bfbaa4

4928289444 has 108 divisors (see below), whose sum is σ = 13854829716. Its totient is φ = 1475345664.

The previous prime is 4928289437. The next prime is 4928289461. The reversal of 4928289444 is 4449828294.

It is a happy number.

4928289444 is a `hidden beast` number, since 49 + 2 + 82 + 89 + 444 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4460544 + 4923828900 = 2112^2 + 70170^2 .

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 35 ways as a sum of consecutive naturals, for example, 214162 + ... + 236054.

Almost surely, 24928289444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4928289444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6927414858).

4928289444 is an abundant number, since it is smaller than the sum of its proper divisors (8926540272).

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

4928289444 is a wasteful number, since it uses less digits than its factorization.

4928289444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21966 (or 21948 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 4928289444 is about 70201.7766441847. The cubic root of 4928289444 is about 1701.7616621591.

The spelling of 4928289444 in words is "four billion, nine hundred twenty-eight million, two hundred eighty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 169 222 234 333 338 444 468 481 507 666 676 962 1014 1332 1443 1521 1924 2028 2886 3042 4329 5772 6084 6253 8658 12506 17316 18759 21893 25012 37518 43786 56277 65679 75036 87572 112554 131358 197037 225108 262716 284609 394074 569218 788148 810041 853827 1138436 1620082 1707654 2430123 2561481 3240164 3415308 3699917 4860246 5122962 7290369 7399834 9720492 10245924 10530533 11099751 14580738 14799668 21061066 22199502 29161476 31591599 33299253 42122132 44399004 63183198 66598506 94774797 126366396 133197012 136896929 189549594 273793858 379099188 410690787 547587716 821381574 1232072361 1642763148 2464144722 4928289444