Search a number
-
+
5055078240 = 253353137747
BaseRepresentation
bin1001011010100111…
…00101111101100000
3111001022000120201000
410231103211331200
540323100000430
62153335512000
7236161312302
oct45523457540
914038016630
105055078240
112164507113
12b90b28600
136273a4574
1435d51b972
151e8bd5e60
hex12d4e5f60

5055078240 has 192 divisors, whose sum is σ = 18263992320. Its totient is φ = 1304501760.

The previous prime is 5055078233. The next prime is 5055078317. The reversal of 5055078240 is 428705505.

It is a happy number.

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 = 5055078195 and 5055078204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115047 + ... + 152793.

It is an arithmetic number, because the mean of its divisors is an integer number (95124960).

Almost surely, 25055078240 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 5055078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9131996160).

5055078240 is an abundant number, since it is smaller than the sum of its proper divisors (13208914080).

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

5055078240 is a wasteful number, since it uses less digits than its factorization.

5055078240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37802 (or 37788 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 5055078240 is about 71099.0734116838. The cubic root of 5055078240 is about 1716.2318626499.

The spelling of 5055078240 in words is "five billion, fifty-five million, seventy-eight thousand, two hundred forty".