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9789012 = 2238373
BaseRepresentation
bin100101010101…
…111001010100
3200102100000000
4211111321110
510001222022
6545451300
7146130252
oct45257124
920370000
109789012
1155866a2
123340b30
13204981c
14142b5d2
15cd56ac
hex955e54

9789012 has 54 divisors (see below), whose sum is σ = 25763738. Its totient is φ = 3254256.

The previous prime is 9789011. The next prime is 9789071. The reversal of 9789012 is 2109879.

It is a happy number.

9789012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8503056 + 1285956 = 2916^2 + 1134^2 .

It is a tau number, because it is divible by the number of its divisors (54).

It is a super-2 number, since 2×97890122 = 191649511872288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9789011) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26058 + ... + 26430.

Almost surely, 29789012 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 9789012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12881869).

9789012 is an abundant number, since it is smaller than the sum of its proper divisors (15974726).

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

9789012 is an equidigital number, since it uses as much as digits as its factorization.

9789012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 9789012 is about 3128.7396823641. The cubic root of 9789012 is about 213.9174864582.

The spelling of 9789012 in words is "nine million, seven hundred eighty-nine thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 373 486 729 746 972 1119 1458 1492 2187 2238 2916 3357 4374 4476 6561 6714 8748 10071 13122 13428 20142 26244 30213 40284 60426 90639 120852 181278 271917 362556 543834 815751 1087668 1631502 2447253 3263004 4894506 9789012