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5689382400 = 2932521329131
BaseRepresentation
bin1010100110001110…
…10001011000000000
3112200111120120102200
411103013101120000
543122440214100
62340315113200
7260662644462
oct52307213000
915614516380
105689382400
11245a565229
121129442800
136c8921280
143bd874132
1523472ce00
hex1531d1600

5689382400 has 720 divisors, whose sum is σ = 22856193360. Its totient is φ = 1341849600.

The previous prime is 5689382393. The next prime is 5689382407. The reversal of 5689382400 is 42839865.

5689382400 is a `hidden beast` number, since 568 + 9 + 3 + 82 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5689382393) and next prime (5689382407).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5689382407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43430335 + ... + 43430465.

It is an arithmetic number, because the mean of its divisors is an integer number (31744713).

Almost surely, 25689382400 is an apocalyptic number.

5689382400 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 5689382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11428096680).

5689382400 is an abundant number, since it is smaller than the sum of its proper divisors (17166810960).

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

5689382400 is a wasteful number, since it uses less digits than its factorization.

5689382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5689382400 is about 75427.9948029908. The cubic root of 5689382400 is about 1785.2061527784.

The spelling of 5689382400 in words is "five billion, six hundred eighty-nine million, three hundred eighty-two thousand, four hundred".