Search a number
-
+
5260417344 = 2637721359
BaseRepresentation
bin1001110011000101…
…11001100101000000
3111120121101220000000
410321202321211000
541233131323334
62225553000000
7244233544500
oct47142714500
914517356000
105260417344
11225a406456
121029853000
1365aaaaab0
1437c8cda00
1520bc47299
hex1398b9940

5260417344 has 672 divisors, whose sum is σ = 19944892800. Its totient is φ = 1363848192.

The previous prime is 5260417277. The next prime is 5260417361. The reversal of 5260417344 is 4437140625.

5260417344 is a `hidden beast` number, since 5 + 2 + 604 + 1 + 7 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5260417299 and 5260417308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89159587 + ... + 89159645.

It is an arithmetic number, because the mean of its divisors is an integer number (29679900).

Almost surely, 25260417344 is an apocalyptic number.

5260417344 is a gapful number since it is divisible by the number (54) 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 5260417344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9972446400).

5260417344 is an abundant number, since it is smaller than the sum of its proper divisors (14684475456).

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

5260417344 is an equidigital number, since it uses as much as digits as its factorization.

5260417344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5260417344 is about 72528.7346091189. The cubic root of 5260417344 is about 1739.1621173979.

Adding to 5260417344 its reverse (4437140625), we get a palindrome (9697557969).

The spelling of 5260417344 in words is "five billion, two hundred sixty million, four hundred seventeen thousand, three hundred forty-four".