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5445002880 = 273252937881
BaseRepresentation
bin1010001001000110…
…00010011010000000
3112001110201210202100
411010203002122000
542122410043010
62300145150400
7251634521652
oct50443023200
915043653670
105445002880
112344620289
12107b62b400
1368a0c8bc5
1439921c6d2
1521d0592c0
hex1448c2680

5445002880 has 384 divisors, whose sum is σ = 19998997200. Its totient is φ = 1362493440.

The previous prime is 5445002867. The next prime is 5445002887. The reversal of 5445002880 is 882005445.

5445002880 is a `hidden beast` number, since 54 + 4 + 500 + 28 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2679925824 + 2765077056 = 51768^2 + 52584^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5445002887) 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, 6180040 + ... + 6180920.

Almost surely, 25445002880 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 5445002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999498600).

5445002880 is an abundant number, since it is smaller than the sum of its proper divisors (14553994320).

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

5445002880 is a wasteful number, since it uses less digits than its factorization.

5445002880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 5445002880 is about 73790.2627722656. The cubic root of 5445002880 is about 1759.2708412057.

It can be divided in two parts, 544500 and 2880, that multiplied together give a square (1568160000 = 396002).

The spelling of 5445002880 in words is "five billion, four hundred forty-five million, two thousand, eight hundred eighty".