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4792882974 = 2311718312323
BaseRepresentation
bin1000111011010110…
…11001011100011110
3110101000122200102020
410131223121130132
534303434223344
62111332041010
7226525555515
oct43553313436
913330580366
104792882974
11203a503a10
12b19163166
135b4c82039
1433678967c
151d0b93719
hex11dad971e

4792882974 has 64 divisors (see below), whose sum is σ = 10733119488. Its totient is φ = 1414565600.

The previous prime is 4792882973. The next prime is 4792883009.

4792882974 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4792882973) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 382777 + ... + 395099.

It is an arithmetic number, because the mean of its divisors is an integer number (167704992).

Almost surely, 24792882974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4792882974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366559744).

4792882974 is an abundant number, since it is smaller than the sum of its proper divisors (5940236514).

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

4792882974 is a wasteful number, since it uses less digits than its factorization.

4792882974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12493.

The product of its digits is 16257024, while the sum is 60.

The square root of 4792882974 is about 69230.6505386162. The cubic root of 4792882974 is about 1686.0312054046.

The spelling of 4792882974 in words is "four billion, seven hundred ninety-two million, eight hundred eighty-two thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 11 22 33 66 71 83 142 166 213 249 426 498 781 913 1562 1826 2343 2739 4686 5478 5893 11786 12323 17679 24646 35358 36969 64823 73938 129646 135553 194469 271106 388938 406659 813318 874933 1022809 1749866 2045618 2624799 3068427 5249598 6136854 9624263 11250899 19248526 22501798 28872789 33752697 57745578 67505394 72619439 145238878 217858317 435716634 798813829 1597627658 2396441487 4792882974