Search a number
-
+
5462663040 = 273251755787
BaseRepresentation
bin1010001011001100…
…11001111110000000
3112002200222000221100
411011212121332000
542141420204130
62302015454400
7252240604212
oct50546317600
915080860840
105462663040
11235359265a
121085527400
136909702c3
1439b6d85b2
1521e896c60
hex145999f80

5462663040 has 192 divisors, whose sum is σ = 19973219760. Its totient is φ = 1370996736.

The previous prime is 5462663021. The next prime is 5462663071. The reversal of 5462663040 is 403662645.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 5462662986 and 5462663004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70027 + ... + 125813.

Almost surely, 25462663040 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 5462663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9986609880).

5462663040 is an abundant number, since it is smaller than the sum of its proper divisors (14510556720).

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

5462663040 is a wasteful number, since it uses less digits than its factorization.

5462663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55829 (or 55814 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5462663040 is about 73909.8304692955. The cubic root of 5462663040 is about 1761.1707774830.

The spelling of 5462663040 in words is "five billion, four hundred sixty-two million, six hundred sixty-three thousand, forty".