Search a number
-
+
5267795904 = 263371922921
BaseRepresentation
bin1001110011111110…
…00010111111000000
3111121010021202111000
410321333002333000
541242023432104
62230415052000
7244353345360
oct47177027700
914533252430
105267795904
112263596038
121030211000
1365c4923c7
1437d8909a0
1520c703639
hex139fc2fc0

5267795904 has 224 divisors, whose sum is σ = 18631001600. Its totient is φ = 1425807360.

The previous prime is 5267795903. The next prime is 5267795917. The reversal of 5267795904 is 4095977625.

It is a tau number, because it is divible by the number of its divisors (224).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (5267795903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218364 + ... + 241284.

Almost surely, 25267795904 is an apocalyptic number.

5267795904 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 5267795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9315500800).

5267795904 is an abundant number, since it is smaller than the sum of its proper divisors (13363205696).

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

5267795904 is a wasteful number, since it uses less digits than its factorization.

5267795904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22968 (or 22952 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The square root of 5267795904 is about 72579.5832448768. The cubic root of 5267795904 is about 1739.9748866768.

The spelling of 5267795904 in words is "five billion, two hundred sixty-seven million, seven hundred ninety-five thousand, nine hundred four".