Search a number
-
+
5438527920 = 243457472551
BaseRepresentation
bin1010001000010100…
…10101100110110000
3112001000112211210000
411010022111212300
542114230343140
62255354310000
7251525503350
oct50412254660
915030484700
105438527920
1123409a8581
121079428300
1368896c977
14398414b60
1521c6caa30
hex1442959b0

5438527920 has 400 divisors, whose sum is σ = 22055159808. Its totient is φ = 1216166400.

The previous prime is 5438527867. The next prime is 5438527949. The reversal of 5438527920 is 297258345.

5438527920 is a `hidden beast` number, since 5 + 4 + 38 + 527 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2130645 + ... + 2133195.

Almost surely, 25438527920 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 5438527920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11027579904).

5438527920 is an abundant number, since it is smaller than the sum of its proper divisors (16616631888).

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

5438527920 is a wasteful number, since it uses less digits than its factorization.

5438527920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5438527920 is about 73746.3756397560. The cubic root of 5438527920 is about 1758.5732152129.

The spelling of 5438527920 in words is "five billion, four hundred thirty-eight million, five hundred twenty-seven thousand, nine hundred twenty".