Search a number
-
+
5267275776 = 2143872
BaseRepresentation
bin1001110011111010…
…00100000000000000
3111121002022100000000
410321331010000000
541241410311101
62230400000000
7244346051100
oct47175040000
914532270000
105267275776
112263270284
121030000000
1365c33c739
1437d797200
1520c64e486
hex139f44000

5267275776 has 405 divisors, whose sum is σ = 18380222679. Its totient is φ = 1504935936.

The previous prime is 5267275757. The next prime is 5267275787. The reversal of 5267275776 is 6775727625.

It is a happy number.

The square root of 5267275776 is 72576.

It is a perfect power (a square), and thus also a powerful number.

5267275776 is a `hidden beast` number, since 5 + 2 + 67 + 2 + 7 + 577 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8643600) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 752467965 + ... + 752467971.

It is a vampire number, since it can be written as 7257672576 (with its own digits).

Almost surely, 25267275776 is an apocalyptic number.

5267275776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5267275776 is the 72576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5267275776

5267275776 is an abundant number, since it is smaller than the sum of its proper divisors (13112946903).

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

5267275776 is an frugal number, since it uses more digits than its factorization.

5267275776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 12 counting only the distinct ones).

The product of its digits is 8643600, while the sum is 54.

The cubic root of 5267275776 is about 1739.9176179783.

The spelling of 5267275776 in words is "five billion, two hundred sixty-seven million, two hundred seventy-five thousand, seven hundred seventy-six".