Search a number
-
+
5358520440 = 2333572137789
BaseRepresentation
bin1001111110110010…
…01000100001111000
3111211110000001011000
410333121020201320
541433240123230
62243415405000
7246534446400
oct47731104170
914743001130
105358520440
1122aa821799
121056683760
13675209070
1438b949800
15215674b60
hex13f648878

5358520440 has 384 divisors, whose sum is σ = 22379112000. Its totient is φ = 1130443776.

The previous prime is 5358520373. The next prime is 5358520457. The reversal of 5358520440 is 440258535.

5358520440 is a `hidden beast` number, since 53 + 585 + 20 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5358520395 and 5358520404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 684066 + ... + 691854.

Almost surely, 25358520440 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 5358520440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11189556000).

5358520440 is an abundant number, since it is smaller than the sum of its proper divisors (17020591560).

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

5358520440 is a wasteful number, since it uses less digits than its factorization.

5358520440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7836 (or 7819 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 5358520440 is about 73201.9155487068. The cubic root of 5358520440 is about 1749.9069817225.

Adding to 5358520440 its reverse (440258535), we get a palindrome (5798778975).

The spelling of 5358520440 in words is "five billion, three hundred fifty-eight million, five hundred twenty thousand, four hundred forty".