Search a number
-
+
4974359040 = 29345723149
BaseRepresentation
bin1001010000111111…
…01011001000000000
3110211200010121210000
410220133223020000
540141413442130
62141333440000
7234161232330
oct45037531000
913750117700
104974359040
112122994632
12b69aa0000
13613751a21
143529090c0
151e1a8e260
hex1287eb200

4974359040 has 800 divisors, whose sum is σ = 21389702400. Its totient is φ = 1080262656.

The previous prime is 4974358997. The next prime is 4974359051. The reversal of 4974359040 is 409534794.

It is a happy number.

4974359040 is a `hidden beast` number, since 4 + 97 + 435 + 90 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33384886 + ... + 33385034.

It is an arithmetic number, because the mean of its divisors is an integer number (26737128).

Almost surely, 24974359040 is an apocalyptic number.

4974359040 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 4974359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10694851200).

4974359040 is an abundant number, since it is smaller than the sum of its proper divisors (16415343360).

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

4974359040 is a wasteful number, since it uses less digits than its factorization.

4974359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4974359040 is about 70529.1361070019. The cubic root of 4974359040 is about 1707.0479074524.

The spelling of 4974359040 in words is "four billion, nine hundred seventy-four million, three hundred fifty-nine thousand, forty".