Search a number
-
+
4985904000 = 273537111971
BaseRepresentation
bin1001010010010111…
…01101101110000000
3110212110212011111010
410221023231232000
540202342412000
62142425120520
7234361325160
oct45113555600
913773764433
104985904000
11212945a520
12b71929140
13615c6486c
143542725a0
151e2abed50
hex1292edb80

4985904000 has 1024 divisors, whose sum is σ = 21996748800. Its totient is φ = 967680000.

The previous prime is 4985903999. The next prime is 4985904067. The reversal of 4985904000 is 4095894.

It is a self number, because there is not a number n which added to its sum of digits gives 4985904000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70223965 + ... + 70224035.

It is an arithmetic number, because the mean of its divisors is an integer number (21481200).

Almost surely, 24985904000 is an apocalyptic number.

4985904000 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 4985904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10998374400).

4985904000 is an abundant number, since it is smaller than the sum of its proper divisors (17010844800).

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

4985904000 is a wasteful number, since it uses less digits than its factorization.

4985904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 4985904000 is about 70610.9339975049. The cubic root of 4985904000 is about 1708.3675128332.

Adding to 4985904000 its reverse (4095894), we get a palindrome (4989999894).

The spelling of 4985904000 in words is "four billion, nine hundred eighty-five million, nine hundred four thousand".