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5752058832 = 243513317359
BaseRepresentation
bin1010101101101100…
…10111001111010000
3112211212111212100000
411112312113033100
543240011340312
62350434330000
7262353456552
oct52666271720
915755455300
105752058832
112491983a33
121146429900
137088c7510
143c7d0b4d2
15239eadadc
hex156d973d0

5752058832 has 240 divisors, whose sum is σ = 18085092480. Its totient is φ = 1759366656.

The previous prime is 5752058827. The next prime is 5752058843. The reversal of 5752058832 is 2388502575.

5752058832 is a `hidden beast` number, since 575 + 20 + 58 + 8 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16022269 + ... + 16022627.

It is an arithmetic number, because the mean of its divisors is an integer number (75354552).

Almost surely, 25752058832 is an apocalyptic number.

5752058832 is a gapful number since it is divisible by the number (52) 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 5752058832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9042546240).

5752058832 is an abundant number, since it is smaller than the sum of its proper divisors (12333033648).

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

5752058832 is a wasteful number, since it uses less digits than its factorization.

5752058832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 5752058832 is about 75842.3287617146. The cubic root of 5752058832 is about 1791.7377329960.

The spelling of 5752058832 in words is "five billion, seven hundred fifty-two million, fifty-eight thousand, eight hundred thirty-two".