Search a number
-
+
8238904272 = 24325310392
BaseRepresentation
bin1111010110001001…
…11011001111010000
3210021011221200221200
413223010323033100
5113333124414042
63441312151200
7411111350034
oct75304731720
923234850850
108238904272
1135487127a5
12171b238500
13a13b9c2b1
145822d61c4
1533348bc4c
hex1eb13b3d0

8238904272 has 90 divisors (see below), whose sum is σ = 23515168482. Its totient is φ = 2691891072.

The previous prime is 8238904217. The next prime is 8238904277. The reversal of 8238904272 is 2724098328.

It can be written as a sum of positive squares in only one way, i.e., 7617100176 + 621804096 = 87276^2 + 24936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8238904277) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7929129 + ... + 7930167.

Almost surely, 28238904272 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 8238904272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11757584241).

8238904272 is an abundant number, since it is smaller than the sum of its proper divisors (15276264210).

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

8238904272 is a wasteful number, since it uses less digits than its factorization.

8238904272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 8238904272 is about 90768.4100995495. The cubic root of 8238904272 is about 2019.7137352074.

The spelling of 8238904272 in words is "eight billion, two hundred thirty-eight million, nine hundred four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1039 1272 1908 2078 2544 3117 3816 4156 6234 7632 8312 9351 12468 16624 18702 24936 37404 49872 55067 74808 110134 149616 165201 220268 330402 440536 495603 660804 881072 991206 1079521 1321608 1982412 2159042 2643216 3238563 3964824 4318084 6477126 7929648 8636168 9715689 12954252 17272336 19431378 25908504 38862756 51817008 57214613 77725512 114429226 155451024 171643839 228858452 343287678 457716904 514931517 686575356 915433808 1029863034 1373150712 2059726068 2746301424 4119452136 8238904272