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9789452640 = 253451168669
BaseRepresentation
bin10010001110111111…
…10011000101100000
3221021020120201110000
421013133303011200
5130022044441030
64255221540000
7464406655152
oct110737630540
927236521400
109789452640
114173988730
121a92574600
13c001ac436
1468c1d6ad2
153c466d860
hex2477f3160

9789452640 has 240 divisors, whose sum is σ = 37689941520. Its totient is φ = 2373166080.

The previous prime is 9789452633. The next prime is 9789452653. The reversal of 9789452640 is 462549879.

9789452640 is a `hidden beast` number, since 9 + 78 + 9 + 4 + 526 + 40 = 666.

9789452640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108226 + ... + 176894.

It is an arithmetic number, because the mean of its divisors is an integer number (157041423).

Almost surely, 29789452640 is an apocalyptic number.

9789452640 is a gapful number since it is divisible by the number (90) 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 9789452640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18844970760).

9789452640 is an abundant number, since it is smaller than the sum of its proper divisors (27900488880).

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

9789452640 is a wasteful number, since it uses less digits than its factorization.

9789452640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68707 (or 68690 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 9789452640 is about 98941.6628119823. The cubic root of 9789452640 is about 2139.2069615175.

The spelling of 9789452640 in words is "nine billion, seven hundred eighty-nine million, four hundred fifty-two thousand, six hundred forty".