Search a number
-
+
4986858240 = 283257136771
BaseRepresentation
bin1001010010011110…
…10110101100000000
3110212112122122110100
410221033112230000
540203113430430
62142501402400
7234402411210
oct45117265400
913775578410
104986858240
112129a51451
12b72109400
13616209cc0
14354440240
151e2c0c960
hex1293d6b00

4986858240 has 864 divisors, whose sum is σ = 21856214016. Its totient is φ = 1021870080.

The previous prime is 4986858209. The next prime is 4986858259. The reversal of 4986858240 is 428586894.

4986858240 is a `hidden beast` number, since 498 + 68 + 58 + 2 + 40 = 666.

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, 70237405 + ... + 70237475.

It is an arithmetic number, because the mean of its divisors is an integer number (25296544).

Almost surely, 24986858240 is an apocalyptic number.

4986858240 is a gapful number since it is divisible by the number (40) 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 4986858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10928107008).

4986858240 is an abundant number, since it is smaller than the sum of its proper divisors (16869355776).

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

4986858240 is a wasteful number, since it uses less digits than its factorization.

4986858240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 4986858240 is about 70617.6907014099. The cubic root of 4986858240 is about 1708.4764926442.

The spelling of 4986858240 in words is "four billion, nine hundred eighty-six million, eight hundred fifty-eight thousand, two hundred forty".