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5754890592 = 2534111731383
BaseRepresentation
bin1010101110000010…
…01010100101100000
3112212001211201210000
411113001022211200
543241222444332
62351015140000
7262416522453
oct52701124540
915761751700
105754890592
112493538530
121147374600
13709379409
143c844749a
1523a36cb7c
hex15704a960

5754890592 has 480 divisors, whose sum is σ = 20233027584. Its totient is φ = 1584230400.

The previous prime is 5754890591. The next prime is 5754890597. The reversal of 5754890592 is 2950984575.

5754890592 is a `hidden beast` number, since 5 + 7 + 5 + 48 + 9 + 0 + 592 = 666.

It is a super-2 number, since 2×57548905922 = 66237531451780220928, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5754890591) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 15025633 + ... + 15026015.

Almost surely, 25754890592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5754890592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10116513792).

5754890592 is an abundant number, since it is smaller than the sum of its proper divisors (14478136992).

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

5754890592 is a wasteful number, since it uses less digits than its factorization.

5754890592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The square root of 5754890592 is about 75860.9951951594. The cubic root of 5754890592 is about 1792.0317111470.

The spelling of 5754890592 in words is "five billion, seven hundred fifty-four million, eight hundred ninety thousand, five hundred ninety-two".