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4941745200 = 2438527269
BaseRepresentation
bin1001001101000110…
…10000110000110000
3110202101202200000000
410212203100300300
540110041321300
62134210430000
7233314066260
oct44643206060
913671680000
104941745200
112106539347
12b5ab92300
13609a730b2
1434c4597a0
151ddc9ac00
hex1268d0c30

4941745200 has 540 divisors, whose sum is σ = 20427554160. Its totient is φ = 1125342720.

The previous prime is 4941745189. The next prime is 4941745229. The reversal of 4941745200 is 25471494.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18370666 + ... + 18370934.

It is an arithmetic number, because the mean of its divisors is an integer number (37828804).

Almost surely, 24941745200 is an apocalyptic number.

4941745200 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 4941745200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10213777080).

4941745200 is an abundant number, since it is smaller than the sum of its proper divisors (15485808960).

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

4941745200 is an equidigital number, since it uses as much as digits as its factorization.

4941745200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4941745200 is about 70297.5476101407. The cubic root of 4941745200 is about 1703.3090334814.

The spelling of 4941745200 in words is "four billion, nine hundred forty-one million, seven hundred forty-five thousand, two hundred".