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9897312 = 253131787
BaseRepresentation
bin100101110000…
…010101100000
3200121211120010
4211300111200
510013203222
6552044520
7150061065
oct45602540
920554503
109897312
11564aaa7
123393740
132086bc9
141458c6c
15d0780c
hex970560

9897312 has 48 divisors (see below), whose sum is σ = 26212032. Its totient is φ = 3269760.

The previous prime is 9897287. The next prime is 9897313. The reversal of 9897312 is 2137989.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9897313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12183 + ... + 12969.

It is an arithmetic number, because the mean of its divisors is an integer number (546084).

Almost surely, 29897312 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 9897312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13106016).

9897312 is an abundant number, since it is smaller than the sum of its proper divisors (16314720).

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

9897312 is a wasteful number, since it uses less digits than its factorization.

9897312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 923 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 9897312 is about 3145.9993642720. Note that the first 3 decimals coincide. The cubic root of 9897312 is about 214.7034816344.

The spelling of 9897312 in words is "nine million, eight hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 787 1048 1572 1574 2096 2361 3144 3148 4192 4722 6288 6296 9444 12576 12592 18888 25184 37776 75552 103097 206194 309291 412388 618582 824776 1237164 1649552 2474328 3299104 4948656 9897312