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5703530400 = 2532521316047
BaseRepresentation
bin1010100111111010…
…01111011110100000
3112201111012100211200
411103331033132200
543140100433100
62341542241200
7261224131341
oct52375173640
915644170750
105703530400
112467548897
121132126200
136cb835b79
143c16b80c8
15235ac4e00
hex153f4f7a0

5703530400 has 216 divisors, whose sum is σ = 20268952704. Its totient is φ = 1509081600.

The previous prime is 5703530351. The next prime is 5703530423. The reversal of 5703530400 is 40353075.

It is a happy number.

5703530400 is a `hidden beast` number, since 570 + 3 + 53 + 0 + 40 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940177 + ... + 946223.

It is an arithmetic number, because the mean of its divisors is an integer number (93837744).

Almost surely, 25703530400 is an apocalyptic number.

5703530400 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 5703530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10134476352).

5703530400 is an abundant number, since it is smaller than the sum of its proper divisors (14565422304).

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

5703530400 is a wasteful number, since it uses less digits than its factorization.

5703530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6204 (or 6188 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 5703530400 is about 75521.7213786868. The cubic root of 5703530400 is about 1786.6847074983.

Adding to 5703530400 its reverse (40353075), we get a palindrome (5743883475).

The spelling of 5703530400 in words is "five billion, seven hundred three million, five hundred thirty thousand, four hundred".