Search a number
-
+
5581049040 = 243857331
BaseRepresentation
bin1010011001010100…
…00000110011010000
3112101221201200000000
411030222000303100
542412222032130
62321445130000
7255206064000
oct51452006320
915357650000
105581049040
1124043a1826
1210b90b9900
136ac3506a8
143ad314000
15229e7e260
hex14ca80cd0

5581049040 has 720 divisors, whose sum is σ = 23429452800. Its totient is φ = 1234517760.

The previous prime is 5581049003. The next prime is 5581049041. The reversal of 5581049040 is 409401855.

5581049040 is a `hidden beast` number, since 55 + 81 + 0 + 490 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×55810490402 = 62296216773769843200, which contains 22 as substring.

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 = 5581048986 and 5581049004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5581049041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 180033825 + ... + 180033855.

Almost surely, 25581049040 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 5581049040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11714726400).

5581049040 is an abundant number, since it is smaller than the sum of its proper divisors (17848403760).

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

5581049040 is an frugal number, since it uses more digits than its factorization.

5581049040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5581049040 is about 74706.4190013147. The cubic root of 5581049040 is about 1773.8025689626.

The spelling of 5581049040 in words is "five billion, five hundred eighty-one million, forty-nine thousand, forty".