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9913288 = 237211319
BaseRepresentation
bin100101110100…
…001111001000
3200122122110211
4211310033020
510014211123
6552250504
7150155500
oct45641710
920578424
109913288
115661000
1233a0a34
132091268
141460a00
15d0c40d
hex9743c8

9913288 has 96 divisors (see below), whose sum is σ = 25034400. Its totient is φ = 3659040.

The previous prime is 9913283. The next prime is 9913289. The reversal of 9913288 is 8823199.

Its product of digits (31104) is a multiple of the sum of its prime factors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 9913288.

It is not an unprimeable number, because it can be changed into a prime (9913283) 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 23 ways as a sum of consecutive naturals, for example, 521743 + ... + 521761.

It is an arithmetic number, because the mean of its divisors is an integer number (260775).

Almost surely, 29913288 is an apocalyptic number.

9913288 is a gapful number since it is divisible by the number (98) 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 9913288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12517200).

9913288 is an abundant number, since it is smaller than the sum of its proper divisors (15121112).

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

9913288 is a wasteful number, since it uses less digits than its factorization.

9913288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 39 counting only the distinct ones).

The product of its digits is 31104, while the sum is 40.

The square root of 9913288 is about 3148.5374382402. The cubic root of 9913288 is about 214.8189425757.

It can be divided in two parts, 9913 and 288, that added together give a palindrome (10201).

The spelling of 9913288 in words is "nine million, nine hundred thirteen thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 49 56 76 77 88 98 121 133 152 154 196 209 242 266 308 392 418 484 532 539 616 836 847 931 968 1064 1078 1331 1463 1672 1694 1862 2156 2299 2662 2926 3388 3724 4312 4598 5324 5852 5929 6776 7448 9196 9317 10241 10648 11704 11858 16093 18392 18634 20482 23716 25289 32186 37268 40964 47432 50578 64372 65219 74536 81928 101156 112651 128744 130438 177023 202312 225302 260876 354046 450604 521752 708092 901208 1239161 1416184 2478322 4956644 9913288