Search a number
-
+
5448865464 = 233472712417
BaseRepresentation
bin1010001001100011…
…10001011010111000
3112001202000001020000
411010301301122320
542124402143324
62300404033000
7252012410100
oct50461613270
915052001200
105448865464
1123468192a9
121080992760
1368ab4c063
14399946200
1521d56d9c9
hex144c716b8

5448865464 has 240 divisors, whose sum is σ = 18011101680. Its totient is φ = 1534256640.

The previous prime is 5448865459. The next prime is 5448865481. The reversal of 5448865464 is 4645688445.

5448865464 is a `hidden beast` number, since 5 + 44 + 88 + 65 + 464 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5448865464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2253184 + ... + 2255600.

It is an arithmetic number, because the mean of its divisors is an integer number (75046257).

Almost surely, 25448865464 is an apocalyptic number.

5448865464 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 5448865464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9005550840).

5448865464 is an abundant number, since it is smaller than the sum of its proper divisors (12562236216).

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

5448865464 is a wasteful number, since it uses less digits than its factorization.

5448865464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2500 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The square root of 5448865464 is about 73816.4308538417. The cubic root of 5448865464 is about 1759.6867409067.

The spelling of 5448865464 in words is "five billion, four hundred forty-eight million, eight hundred sixty-five thousand, four hundred sixty-four".