Search a number
-
+
5027478300 = 22335213433331
BaseRepresentation
bin1001010111010100…
…10011101100011100
3110222101002100201000
410223222103230130
540244013301200
62150512150300
7235404601065
oct45352235434
913871070630
105027478300
11214a975949
12b83838390
1362175cb40
143599b556c
151e6583300
hex12ba93b1c

5027478300 has 288 divisors, whose sum is σ = 17815804160. Its totient is φ = 1208390400.

The previous prime is 5027478283. The next prime is 5027478319. The reversal of 5027478300 is 38747205.

5027478300 is a `hidden beast` number, since 502 + 74 + 7 + 83 + 0 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 1507635 + ... + 1510965.

Almost surely, 25027478300 is an apocalyptic number.

5027478300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5027478300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8907902080).

5027478300 is an abundant number, since it is smaller than the sum of its proper divisors (12788325860).

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

5027478300 is a wasteful number, since it uses less digits than its factorization.

5027478300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 5027478300 is about 70904.7128193888. The cubic root of 5027478300 is about 1713.1027079176.

The spelling of 5027478300 in words is "five billion, twenty-seven million, four hundred seventy-eight thousand, three hundred".