Search a number
-
+
5472311040 = 28325779859
BaseRepresentation
bin1010001100010110…
…01101011100000000
3112010101010012111200
411012023031130000
542201402423130
62303002341200
7252415606410
oct50613153400
915111105450
105472311040
112358a82309
1210887ba800
1369296a891
1439caca640
15220650760
hex1462cd700

5472311040 has 432 divisors, whose sum is σ = 21937843200. Its totient is φ = 1233543168.

The previous prime is 5472311029. The next prime is 5472311057. The reversal of 5472311040 is 401132745.

5472311040 is a `hidden beast` number, since 547 + 2 + 3 + 110 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5472310995 and 5472311013.

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 47 ways as a sum of consecutive naturals, for example, 6370131 + ... + 6370989.

Almost surely, 25472311040 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 5472311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968921600).

5472311040 is an abundant number, since it is smaller than the sum of its proper divisors (16465532160).

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

5472311040 is a wasteful number, since it uses less digits than its factorization.

5472311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5472311040 is about 73975.0703953704. The cubic root of 5472311040 is about 1762.2070109023.

Adding to 5472311040 its reverse (401132745), we get a palindrome (5873443785).

The spelling of 5472311040 in words is "five billion, four hundred seventy-two million, three hundred eleven thousand, forty".