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5749228800 = 2833527397
BaseRepresentation
bin1010101101010111…
…00100010100000000
3112211200012002021000
411112223210110000
543233300310200
62350253532000
7262320432000
oct52653442400
915750162230
105749228800
112490320767
1211454a4000
13708146343
143c77b2000
15239b00300
hex156ae4500

5749228800 has 864 divisors, whose sum is σ = 24838688000. Its totient is φ = 1300561920.

The previous prime is 5749228789. The next prime is 5749228841. The reversal of 5749228800 is 88229475.

It is a tau number, because it is divible by the number of its divisors (864).

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59270352 + ... + 59270448.

Almost surely, 25749228800 is an apocalyptic number.

5749228800 is a gapful number since it is divisible by the number (50) 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 5749228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12419344000).

5749228800 is an abundant number, since it is smaller than the sum of its proper divisors (19089459200).

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

5749228800 is an equidigital number, since it uses as much as digits as its factorization.

5749228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5749228800 is about 75823.6691277862. The cubic root of 5749228800 is about 1791.4438378249.

The spelling of 5749228800 in words is "five billion, seven hundred forty-nine million, two hundred twenty-eight thousand, eight hundred".