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9997312 = 21013751
BaseRepresentation
bin100110001000…
…110000000000
3200210220201211
4212020300000
510024403222
6554135504
7150655453
oct46106000
920726654
109997312
115709146
123421594
1320c0590
14148349a
15d27277
hex988c00

9997312 has 44 divisors (see below), whose sum is σ = 21550816. Its totient is φ = 4608000.

The previous prime is 9997303. The next prime is 9997319. The reversal of 9997312 is 2137999.

It is not an unprimeable number, because it can be changed into a prime (9997319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12937 + ... + 13687.

Almost surely, 29997312 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 9997312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10775408).

9997312 is an abundant number, since it is smaller than the sum of its proper divisors (11553504).

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

9997312 is a wasteful number, since it uses less digits than its factorization.

9997312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 766 counting only the distinct ones).

The product of its digits is 30618, while the sum is 40.

The square root of 9997312 is about 3161.8526214863. The cubic root of 9997312 is about 215.4241635385.

The spelling of 9997312 in words is "nine million, nine hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 751 832 1024 1502 1664 3004 3328 6008 6656 9763 12016 13312 19526 24032 39052 48064 78104 96128 156208 192256 312416 384512 624832 769024 1249664 2499328 4998656 9997312