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9696672 = 25352943
BaseRepresentation
bin100100111111…
…010110100000
3200020122100000
4210333112200
54440243142
6543500000
7145264116
oct44772640
920218300
109696672
115523287
1232b7600
13201679b
141405ab6
15cb814c
hex93f5a0

9696672 has 144 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 3048192.

The previous prime is 9696667. The next prime is 9696679. The reversal of 9696672 is 2766969.

9696672 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (9696679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225483 + ... + 225525.

It is an arithmetic number, because the mean of its divisors is an integer number (210210).

Almost surely, 29696672 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 9696672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

9696672 is an abundant number, since it is smaller than the sum of its proper divisors (20573568).

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

9696672 is a wasteful number, since it uses less digits than its factorization.

9696672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 9696672 is about 3113.9479764441. The cubic root of 9696672 is about 213.2427306237.

The spelling of 9696672 in words is "nine million, six hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 43 48 54 58 72 81 86 87 96 108 116 129 144 162 172 174 216 232 243 258 261 288 324 344 348 387 432 464 486 516 522 648 688 696 774 783 864 928 972 1032 1044 1161 1247 1296 1376 1392 1548 1566 1944 2064 2088 2322 2349 2494 2592 2784 3096 3132 3483 3741 3888 4128 4176 4644 4698 4988 6192 6264 6966 7047 7482 7776 8352 9288 9396 9976 10449 11223 12384 12528 13932 14094 14964 18576 18792 19952 20898 22446 25056 27864 28188 29928 33669 37152 37584 39904 41796 44892 55728 56376 59856 67338 75168 83592 89784 101007 111456 112752 119712 134676 167184 179568 202014 225504 269352 303021 334368 359136 404028 538704 606042 808056 1077408 1212084 1616112 2424168 3232224 4848336 9696672