Search a number
-
+
8200734152 = 231373214797
BaseRepresentation
bin1111010001100110…
…10100010111001000
3210011112010110101112
413220303110113020
5113243341443102
63433430105452
7410136042632
oct75063242710
923145113345
108200734152
113529111a46
12170a4ab288
13a08cc6620
1457b1dba52
1532ee4c252
hex1e8cd45c8

8200734152 has 48 divisors (see below), whose sum is σ = 16790254740. Its totient is φ = 3732853248.

The previous prime is 8200734151. The next prime is 8200734167. The reversal of 8200734152 is 2514370028.

It can be written as a sum of positive squares in 6 ways, for example, as 2543588356 + 5657145796 = 50434^2 + 75214^2 .

It is not an unprimeable number, because it can be changed into a prime (8200734151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 546818 + ... + 561614.

Almost surely, 28200734152 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 8200734152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8395127370).

8200734152 is an abundant number, since it is smaller than the sum of its proper divisors (8589520588).

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

8200734152 is a wasteful number, since it uses less digits than its factorization.

8200734152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14962 (or 14885 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 8200734152 is about 90557.9049669326. The cubic root of 8200734152 is about 2016.5898538813.

The spelling of 8200734152 in words is "eight billion, two hundred million, seven hundred thirty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 73 104 146 292 584 949 1898 3796 5329 7592 10658 14797 21316 29594 42632 59188 69277 118376 138554 192361 277108 384722 554216 769444 1080181 1538888 2160362 4320724 8641448 14042353 28084706 56169412 78853213 112338824 157706426 315412852 630825704 1025091769 2050183538 4100367076 8200734152