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9681672 = 23371113231
BaseRepresentation
bin100100111011…
…101100001000
3200012212202110
4210323230020
54434303142
6543302320
7145202310
oct44735410
920185673
109681672
115512a90
1232aa9a0
13200ca00
141400440
15cb399c
hex93bb08

9681672 has 192 divisors, whose sum is σ = 33730560. Its totient is φ = 2246400.

The previous prime is 9681649. The next prime is 9681677. The reversal of 9681672 is 2761869.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (36288) is a multiple of the sum of its prime factors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 9681672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9681677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312297 + ... + 312327.

It is an arithmetic number, because the mean of its divisors is an integer number (175680).

Almost surely, 29681672 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 9681672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16865280).

9681672 is an abundant number, since it is smaller than the sum of its proper divisors (24048888).

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

9681672 is a wasteful number, since it uses less digits than its factorization.

9681672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 67 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 9681672 is about 3111.5385261957. The cubic root of 9681672 is about 213.1327172181.

The spelling of 9681672 in words is "nine million, six hundred eighty-one thousand, six hundred seventy-two".