Search a number
-
+
4540045440 = 273571923773
BaseRepresentation
bin1000011101001101…
…11001100010000000
3102201101220012112010
410032212321202000
533244222423230
62030300532520
7220335515040
oct41646714200
912641805463
104540045440
111a1a812377
12a68551140
13574787c28
14310d71720
151b889d9b0
hex10e9b9880

4540045440 has 512 divisors, whose sum is σ = 18189619200. Its totient is φ = 939147264.

The previous prime is 4540045429. The next prime is 4540045441. The reversal of 4540045440 is 445400454.

It is a happy number.

It is a super-2 number, since 2×45400454402 = 41224025194529587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4540045398 and 4540045407.

It is not an unprimeable number, because it can be changed into a prime (4540045441) 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 63 ways as a sum of consecutive naturals, for example, 5872894 + ... + 5873666.

It is an arithmetic number, because the mean of its divisors is an integer number (35526600).

Almost surely, 24540045440 is an apocalyptic number.

4540045440 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 4540045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9094809600).

4540045440 is an abundant number, since it is smaller than the sum of its proper divisors (13649573760).

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

4540045440 is a wasteful number, since it uses less digits than its factorization.

4540045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 4540045440 is about 67379.8593052850. The cubic root of 4540045440 is about 1655.8464699318.

Adding to 4540045440 its reverse (445400454), we get a palindrome (4985445894).

The spelling of 4540045440 in words is "four billion, five hundred forty million, forty-five thousand, four hundred forty".