Search a number
-
+
5327741952 = 210381361
BaseRepresentation
bin1001111011000111…
…01110010000000000
3111202022002100000000
410331203232100000
541402400220302
62240400000000
7246012026241
oct47543562000
914668070000
105327741952
11229440a425
121048300000
1366ba20940
14387816cc8
15212ae531c
hex13d8ee400

5327741952 has 396 divisors, whose sum is σ = 17485449436. Its totient is φ = 1612431360.

The previous prime is 5327741929. The next prime is 5327741953. The reversal of 5327741952 is 2591477235.

It is a happy number.

5327741952 is a `hidden beast` number, since 532 + 77 + 41 + 9 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 429981696 + 4897760256 = 20736^2 + 69984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5327741898 and 5327741907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5327741953) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87340002 + ... + 87340062.

Almost surely, 25327741952 is an apocalyptic number.

5327741952 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5327741952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8742724718).

5327741952 is an abundant number, since it is smaller than the sum of its proper divisors (12157707484).

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

5327741952 is an frugal number, since it uses more digits than its factorization.

5327741952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 79 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 5327741952 is about 72991.3827242641. The cubic root of 5327741952 is about 1746.5501507914.

The spelling of 5327741952 in words is "five billion, three hundred twenty-seven million, seven hundred forty-one thousand, nine hundred fifty-two".