Search a number
-
+
4082728752 = 24339450761
BaseRepresentation
bin1111001101011001…
…0111111100110000
3101112112101002222000
43303112113330300
531330134310002
61513043014000
7203113423164
oct36326277460
911475332860
104082728752
1118056595a3
1295b36a300
13500ac8b3b
142aa32aca4
1518d66761c
hexf3597f30

4082728752 has 40 divisors (see below), whose sum is σ = 11718944880. Its totient is φ = 1360909440.

The previous prime is 4082728751. The next prime is 4082728763. The reversal of 4082728752 is 2578272804.

It is a junction number, because it is equal to n+sod(n) for n = 4082728698 and 4082728707.

It is not an unprimeable number, because it can be changed into a prime (4082728751) 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 7 ways as a sum of consecutive naturals, for example, 4724949 + ... + 4725812.

It is an arithmetic number, because the mean of its divisors is an integer number (292973622).

Almost surely, 24082728752 is an apocalyptic number.

It is an amenable number.

4082728752 is an abundant number, since it is smaller than the sum of its proper divisors (7636216128).

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

4082728752 is a wasteful number, since it uses less digits than its factorization.

4082728752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9450778 (or 9450766 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 4082728752 is about 63896.2342552360. The cubic root of 4082728752 is about 1598.2701032515.

The spelling of 4082728752 in words is "four billion, eighty-two million, seven hundred twenty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 9450761 18901522 28352283 37803044 56704566 75606088 85056849 113409132 151212176 170113698 226818264 255170547 340227396 453636528 510341094 680454792 1020682188 1360909584 2041364376 4082728752