Search a number
-
+
5538431808 = 263371335221
BaseRepresentation
bin1010010100001110…
…11100001101000000
3112021222112111011000
411022013130031000
542320314304213
62313323452000
7254150615340
oct51207341500
915258474130
105538431808
112392333878
1210a6987000
136a357b7b0
143a77bcd20
15226361c73
hex14a1dc340

5538431808 has 224 divisors, whose sum is σ = 20039909120. Its totient is φ = 1460643840.

The previous prime is 5538431797. The next prime is 5538431813. The reversal of 5538431808 is 8081348355.

5538431808 is a `hidden beast` number, since 5 + 538 + 4 + 31 + 80 + 8 = 666.

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

It is a super-2 number, since 2×55384318082 = 61348453783732297728, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 139638 + ... + 174858.

It is an arithmetic number, because the mean of its divisors is an integer number (89463880).

Almost surely, 25538431808 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 5538431808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10019954560).

5538431808 is an abundant number, since it is smaller than the sum of its proper divisors (14501477312).

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

5538431808 is a wasteful number, since it uses less digits than its factorization.

5538431808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35262 (or 35246 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5538431808 is about 74420.6410077204. The cubic root of 5538431808 is about 1769.2760728148.

The spelling of 5538431808 in words is "five billion, five hundred thirty-eight million, four hundred thirty-one thousand, eight hundred eight".