Search a number
-
+
4501427040 = 253351194727
BaseRepresentation
bin1000011000100111…
…00101001101100000
3102121201020012001000
410030103211031200
533204331131130
62022401112000
7216356332665
oct41423451540
912551205030
104501427040
1119aaa35840
12a57628600
135697861c6
14309b9ba6c
151b52c1260
hex10c4e5360

4501427040 has 192 divisors, whose sum is σ = 17187448320. Its totient is φ = 1091243520.

The previous prime is 4501427027. The next prime is 4501427041. The reversal of 4501427040 is 407241054.

4501427040 is a `hidden beast` number, since 450 + 142 + 70 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4501426995 and 4501427013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4501427041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 157 + ... + 94883.

It is an arithmetic number, because the mean of its divisors is an integer number (89517960).

Almost surely, 24501427040 is an apocalyptic number.

4501427040 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 4501427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8593724160).

4501427040 is an abundant number, since it is smaller than the sum of its proper divisors (12686021280).

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

4501427040 is a wasteful number, since it uses less digits than its factorization.

4501427040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94762 (or 94748 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 4501427040 is about 67092.6750100188. The cubic root of 4501427040 is about 1651.1381238644.

Adding to 4501427040 its reverse (407241054), we get a palindrome (4908668094).

The spelling of 4501427040 in words is "four billion, five hundred one million, four hundred twenty-seven thousand, forty".