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5682845952 = 2834731747
BaseRepresentation
bin1010100101011100…
…10101100100000000
3112200001021111010000
411102232111210000
543114302032302
62335523040000
7260553252000
oct52256254400
915601244100
105682845952
112456900303
121127210000
136c7473054
143bca52000
15233d8b31c
hex152b95900

5682845952 has 720 divisors, whose sum is σ = 21368793600. Its totient is φ = 1495646208.

The previous prime is 5682845951. The next prime is 5682845953. The reversal of 5682845952 is 2595482865.

5682845952 is a `hidden beast` number, since 568 + 28 + 4 + 5 + 9 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (5682845951) and next prime (5682845953).

It is a super-2 number, since 2×56828459522 = 64589476228325572608, 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 (5682845951) 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, 120911593 + ... + 120911639.

It is an arithmetic number, because the mean of its divisors is an integer number (29678880).

Almost surely, 25682845952 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 5682845952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10684396800).

5682845952 is an abundant number, since it is smaller than the sum of its proper divisors (15685947648).

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

5682845952 is an equidigital number, since it uses as much as digits as its factorization.

5682845952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 76 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The square root of 5682845952 is about 75384.6532922982. The cubic root of 5682845952 is about 1784.5222250709.

The spelling of 5682845952 in words is "five billion, six hundred eighty-two million, eight hundred forty-five thousand, nine hundred fifty-two".