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5689958400 = 213345273
BaseRepresentation
bin1010100110010010…
…11110000000000000
3112200112122211120000
411103021132000000
543123112132100
62340335320000
7261000564000
oct52311360000
915615584500
105689958400
11245a918a65
121129680000
136c8a934b9
143bd984000
152347e3900
hex15325e000

5689958400 has 840 divisors, whose sum is σ = 24581053200. Its totient is φ = 1300561920.

The previous prime is 5689958399. The next prime is 5689958411. The reversal of 5689958400 is 48599865.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5689958400 is a `hidden beast` number, since 56 + 8 + 9 + 9 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 812851197 + ... + 812851203.

Almost surely, 25689958400 is an apocalyptic number.

5689958400 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 5689958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12290526600).

5689958400 is an abundant number, since it is smaller than the sum of its proper divisors (18891094800).

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

5689958400 is an frugal number, since it uses more digits than its factorization.

5689958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 5689958400 is about 75431.8129173627. The cubic root of 5689958400 is about 1785.2663962268.

The spelling of 5689958400 in words is "five billion, six hundred eighty-nine million, nine hundred fifty-eight thousand, four hundred".