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4940880000 = 27354717173
BaseRepresentation
bin1001001100111111…
…11101100010000000
3110202100010201011120
410212133331202000
540104331130000
62134140112240
7233303533650
oct44637754200
913670121146
104940880000
112105aa8301
12b5a835680
1360982c344
1434c2b2360
151ddb796a0
hex1267fd880

4940880000 has 640 divisors, whose sum is σ = 19960110720. Its totient is φ = 1056768000.

The previous prime is 4940879953. The next prime is 4940880001. The reversal of 4940880000 is 880494.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (4940880001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28559914 + ... + 28560086.

It is an arithmetic number, because the mean of its divisors is an integer number (31187673).

Almost surely, 24940880000 is an apocalyptic number.

4940880000 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 4940880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9980055360).

4940880000 is an abundant number, since it is smaller than the sum of its proper divisors (15019230720).

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

4940880000 is a wasteful number, since it uses less digits than its factorization.

4940880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 4940880000 is about 70291.3934987776. The cubic root of 4940880000 is about 1703.2096226505.

The spelling of 4940880000 in words is "four billion, nine hundred forty million, eight hundred eighty thousand".