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4940844480 = 2634511133143
BaseRepresentation
bin1001001100111111…
…10100110111000000
3110202100001220110000
410212133310313000
540104324010410
62134135240000
7233303325255
oct44637646700
913670056400
104940844480
112105a83650
12b5a819000
13609819120
1434c2a342c
151ddb6ddc0
hex1267f4dc0

4940844480 has 1120 divisors, whose sum is σ = 21809829888. Its totient is φ = 1045094400.

The previous prime is 4940844409. The next prime is 4940844527. The reversal of 4940844480 is 844480494.

4940844480 is a `hidden beast` number, since 4 + 94 + 0 + 84 + 4 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 114903339 + ... + 114903381.

Almost surely, 24940844480 is an apocalyptic number.

4940844480 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 4940844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10904914944).

4940844480 is an abundant number, since it is smaller than the sum of its proper divisors (16868985408).

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

4940844480 is a wasteful number, since it uses less digits than its factorization.

4940844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4940844480 is about 70291.1408358123. The cubic root of 4940844480 is about 1703.2055411812.

The spelling of 4940844480 in words is "four billion, nine hundred forty million, eight hundred forty-four thousand, four hundred eighty".