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4638283782 = 2311731377027
BaseRepresentation
bin1000101000111011…
…01001100000000110
3102222020202020012020
410110131221200012
533444400040112
62044130304010
7222640522146
oct42435514006
912866666166
104638283782
111a70210290
12a95428006
1358bc32922
14320024926
151c230648c
hex114769806

4638283782 has 64 divisors (see below), whose sum is σ = 10334870784. Its totient is φ = 1375971840.

The previous prime is 4638283763. The next prime is 4638283789. The reversal of 4638283782 is 2873828364.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4638283789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656553 + ... + 663579.

It is an arithmetic number, because the mean of its divisors is an integer number (161482356).

Almost surely, 24638283782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4638283782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5167435392).

4638283782 is an abundant number, since it is smaller than the sum of its proper divisors (5696587002).

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

4638283782 is a wasteful number, since it uses less digits than its factorization.

4638283782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7253.

The product of its digits is 3096576, while the sum is 51.

The square root of 4638283782 is about 68104.9468247351. The cubic root of 4638283782 is about 1667.7045185351.

It can be divided in two parts, 4638 and 283782, that added together give a triangular number (288420 = T759).

The spelling of 4638283782 in words is "four billion, six hundred thirty-eight million, two hundred eighty-three thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 66 73 137 146 219 274 411 438 803 822 1507 1606 2409 3014 4521 4818 7027 9042 10001 14054 20002 21081 30003 42162 60006 77297 110011 154594 220022 231891 330033 463782 512971 660066 962699 1025942 1538913 1925398 2888097 3077826 5642681 5776194 10589689 11285362 16928043 21179378 31769067 33856086 63538134 70277027 140554054 210831081 421662162 773047297 1546094594 2319141891 4638283782