Search a number
-
+
5262053040 = 24325192111823
BaseRepresentation
bin1001110011010010…
…01000111010110000
3111120201110222202100
410321221020322300
541234041144130
62230052020400
7244253466336
oct47151107260
914521428670
105262053040
112260323372
12102a301700
1365b23146a
1437cbd7b56
1520be6bc60
hex139a48eb0

5262053040 has 240 divisors, whose sum is σ = 18700231680. Its totient is φ = 1322334720.

The previous prime is 5262053011. The next prime is 5262053047. The reversal of 5262053040 is 403502625.

5262053040 is a `hidden beast` number, since 5 + 2 + 620 + 5 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×52620530403 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5262052995 and 5262053013.

It is not an unprimeable number, because it can be changed into a prime (5262053047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2885569 + ... + 2887391.

It is an arithmetic number, because the mean of its divisors is an integer number (77917632).

Almost surely, 25262053040 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 5262053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9350115840).

5262053040 is an abundant number, since it is smaller than the sum of its proper divisors (13438178640).

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

5262053040 is a wasteful number, since it uses less digits than its factorization.

5262053040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5262053040 is about 72540.0099255576. The cubic root of 5262053040 is about 1739.3423594796.

Adding to 5262053040 its reverse (403502625), we get a palindrome (5665555665).

The spelling of 5262053040 in words is "five billion, two hundred sixty-two million, fifty-three thousand, forty".