Search a number
-
+
5505762240 = 2633511193049
BaseRepresentation
bin1010010000010101…
…10100001111000000
3112012201001200221000
411020022310033000
542233433342430
62310155332000
7253303130646
oct51012641700
915181050830
105505762240
11237594a730
121097a51000
136998806a4
143a3317196
1522355be60
hex1482b43c0

5505762240 has 448 divisors, whose sum is σ = 22311360000. Its totient is φ = 1264066560.

The previous prime is 5505762209. The next prime is 5505762281. The reversal of 5505762240 is 422675055.

5505762240 is a `hidden beast` number, since 550 + 5 + 7 + 62 + 2 + 40 = 666.

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 = 5505762195 and 5505762204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1804236 + ... + 1807284.

Almost surely, 25505762240 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 5505762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11155680000).

5505762240 is an abundant number, since it is smaller than the sum of its proper divisors (16805597760).

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

5505762240 is a wasteful number, since it uses less digits than its factorization.

5505762240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 5505762240 is about 74200.8237151044. The cubic root of 5505762240 is about 1765.7903983996.

The spelling of 5505762240 in words is "five billion, five hundred five million, seven hundred sixty-two thousand, two hundred forty".