Search a number
-
+
4986282240 = 28355172341
BaseRepresentation
bin1001010010011010…
…01010000100000000
3110212111120101100000
410221031022010000
540202442012430
62142441200000
7234364462002
oct45115120400
913774511300
104986282240
112129698715
12b71a90000
13616067a84
14354330372
151e2b46e60
hex12934a100

4986282240 has 864 divisors, whose sum is σ = 20249139456. Its totient is φ = 1167851520.

The previous prime is 4986282239. The next prime is 4986282247. The reversal of 4986282240 is 422826894.

4986282240 is a `hidden beast` number, since 498 + 62 + 82 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4986282247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121616620 + ... + 121616660.

It is an arithmetic number, because the mean of its divisors is an integer number (23436504).

Almost surely, 24986282240 is an apocalyptic number.

4986282240 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 4986282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10124569728).

4986282240 is an abundant number, since it is smaller than the sum of its proper divisors (15262857216).

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

4986282240 is a wasteful number, since it uses less digits than its factorization.

4986282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4986282240 is about 70613.6122854510. The cubic root of 4986282240 is about 1708.4107117255.

The spelling of 4986282240 in words is "four billion, nine hundred eighty-six million, two hundred eighty-two thousand, two hundred forty".