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9789696 = 28327607
BaseRepresentation
bin100101010110…
…000100000000
3200102100221100
4211112010000
510001232241
6545454400
7146132250
oct45260400
920370840
109789696
115587164
123341400
132049c27
14142b960
15cd59b6
hex956100

9789696 has 108 divisors (see below), whose sum is σ = 32311552. Its totient is φ = 2792448.

The previous prime is 9789667. The next prime is 9789713. The reversal of 9789696 is 6969879.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15825 + ... + 16431.

Almost surely, 29789696 is an apocalyptic number.

9789696 is a gapful number since it is divisible by the number (96) 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 9789696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16155776).

9789696 is an abundant number, since it is smaller than the sum of its proper divisors (22521856).

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

9789696 is a wasteful number, since it uses less digits than its factorization.

9789696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 619 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 9789696 is about 3128.8489896446. The cubic root of 9789696 is about 213.9224687844.

The spelling of 9789696 in words is "nine million, seven hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 607 672 768 896 1008 1152 1214 1344 1792 1821 2016 2304 2428 2688 3642 4032 4249 4856 5376 5463 7284 8064 8498 9712 10926 12747 14568 16128 16996 19424 21852 25494 29136 33992 38241 38848 43704 50988 58272 67984 76482 77696 87408 101976 116544 135968 152964 155392 174816 203952 233088 271936 305928 349632 407904 466176 543872 611856 699264 815808 1087744 1223712 1398528 1631616 2447424 3263232 4894848 9789696