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5482764144 = 24321113449593
BaseRepresentation
bin1010001101100110…
…00101011101110000
3112011002210021110200
411012303011131300
542212041423034
62304014355200
7252603504054
oct50663053560
915132707420
105482764144
112363971940
1210901bbb00
13694b8a750
143a024bc64
15221517a99
hex146cc5770

5482764144 has 240 divisors, whose sum is σ = 18097279200. Its totient is φ = 1527644160.

The previous prime is 5482764143. The next prime is 5482764151. The reversal of 5482764144 is 4414672845.

5482764144 is a `hidden beast` number, since 548 + 2 + 7 + 64 + 1 + 44 = 666.

It is a super-3 number, since 3×54827641443 (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5482764144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5482764143) 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, 9245512 + ... + 9246104.

It is an arithmetic number, because the mean of its divisors is an integer number (75405330).

Almost surely, 25482764144 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 5482764144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9048639600).

5482764144 is an abundant number, since it is smaller than the sum of its proper divisors (12614515056).

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

5482764144 is a wasteful number, since it uses less digits than its factorization.

5482764144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1071 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 5482764144 is about 74045.6895706968. The cubic root of 5482764144 is about 1763.3283419451.

The spelling of 5482764144 in words is "five billion, four hundred eighty-two million, seven hundred sixty-four thousand, one hundred forty-four".