Search a number
-
+
5378304960 = 263357175231
BaseRepresentation
bin1010000001001001…
…00110101111000000
3111212211020012102000
411000210212233000
542003321224320
62245403424000
7250164560250
oct50044465700
914784205360
105378304960
11230aa05136
121061225000
13679345392
14390419960
15217281c90
hex140926bc0

5378304960 has 448 divisors, whose sum is σ = 22963875840. Its totient is φ = 1156792320.

The previous prime is 5378304907. The next prime is 5378304983. The reversal of 5378304960 is 694038735.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1025545 + ... + 1030775.

Almost surely, 25378304960 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 5378304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11481937920).

5378304960 is an abundant number, since it is smaller than the sum of its proper divisors (17585570880).

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

5378304960 is a wasteful number, since it uses less digits than its factorization.

5378304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5281 (or 5265 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 5378304960 is about 73336.9276694899. The cubic root of 5378304960 is about 1752.0579826935.

The spelling of 5378304960 in words is "five billion, three hundred seventy-eight million, three hundred four thousand, nine hundred sixty".