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5758225200 = 243652721331
BaseRepresentation
bin1010101110011011…
…11000101100110000
3112212022010011000000
411113031320230300
543243101201300
62351214430000
7262460051400
oct52715705460
915768104000
105758225200
112495405902
121148502300
13709c76160
143c8a74800
1523a7cac00
hex157378b30

5758225200 has 1260 divisors, whose sum is σ = 26822324928. Its totient is φ = 1175731200.

The previous prime is 5758225199. The next prime is 5758225201. The reversal of 5758225200 is 25228575.

5758225200 is a `hidden beast` number, since 57 + 5 + 82 + 2 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5758225199) and next prime (5758225201).

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is not an unprimeable number, because it can be changed into a prime (5758225201) by changing a digit.

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 251 ways as a sum of consecutive naturals, for example, 185749185 + ... + 185749215.

Almost surely, 25758225200 is an apocalyptic number.

5758225200 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 5758225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411162464).

5758225200 is an abundant number, since it is smaller than the sum of its proper divisors (21064099728).

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

5758225200 is a wasteful number, since it uses less digits than its factorization.

5758225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 5758225200 is about 75882.9704215643. The cubic root of 5758225200 is about 1792.3777686649.

The spelling of 5758225200 in words is "five billion, seven hundred fifty-eight million, two hundred twenty-five thousand, two hundred".