Search a number
-
+
4233021738 = 2311438916759
BaseRepresentation
bin1111110001001110…
…1100100100101010
3101221000011210011220
43330103230210222
532132123143423
61540012202510
7206620043151
oct37423544452
911830153156
104233021738
111882480980
129a1769436
13525c9b1ba
142c2290598
1519b9539e3
hexfc4ec92a

4233021738 has 64 divisors (see below), whose sum is σ = 9557222400. Its totient is φ = 1238751360.

The previous prime is 4233021721. The next prime is 4233021763. The reversal of 4233021738 is 8371203324.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4233021699 and 4233021708.

It is an unprimeable number.

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, 244203 + ... + 260961.

It is an arithmetic number, because the mean of its divisors is an integer number (149331600).

Almost surely, 24233021738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4233021738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778611200).

4233021738 is an abundant number, since it is smaller than the sum of its proper divisors (5324200662).

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

4233021738 is a wasteful number, since it uses less digits than its factorization.

4233021738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16907.

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 4233021738 is about 65061.6764155367. The cubic root of 4233021738 is about 1617.6460424247.

The spelling of 4233021738 in words is "four billion, two hundred thirty-three million, twenty-one thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 43 66 86 89 129 178 258 267 473 534 946 979 1419 1958 2838 2937 3827 5874 7654 11481 16759 22962 33518 42097 50277 84194 100554 126291 184349 252582 368698 553047 720637 1106094 1441274 1491551 2161911 2983102 4323822 4474653 7927007 8949306 15854014 16407061 23781021 32814122 47562042 49221183 64136693 98442366 128273386 192410079 384820158 705503623 1411007246 2116510869 4233021738