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9235072 = 27711937
BaseRepresentation
bin100011001110…
…101010000000
3122101012010201
4203032222000
54331010242
6525534544
7141332260
oct43165200
918335121
109235072
1152384a0
123114454
131bb4652
1413257a0
15c264b7
hex8cea80

9235072 has 64 divisors (see below), whose sum is σ = 22962240. Its totient is φ = 3594240.

The previous prime is 9235049. The next prime is 9235073. The reversal of 9235072 is 2705329.

9235072 is digitally balanced in base 5, because in such base 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 92 + 25 + 39 + 55 + 0 + 77 + 223 .

It is a self number, because there is not a number n which added to its sum of digits gives 9235072.

It is not an unprimeable number, because it can be changed into a prime (9235073) 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, 9388 + ... + 10324.

It is an arithmetic number, because the mean of its divisors is an integer number (358785).

Almost surely, 29235072 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 9235072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11481120).

9235072 is an abundant number, since it is smaller than the sum of its proper divisors (13727168).

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

9235072 is a wasteful number, since it uses less digits than its factorization.

9235072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 9235072 is about 3038.9261261176. The cubic root of 9235072 is about 209.8038379852.

It can be divided in two parts, 923 and 5072, that added together give a palindrome (5995).

The spelling of 9235072 in words is "nine million, two hundred thirty-five thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 937 1232 1408 1874 2464 3748 4928 6559 7496 9856 10307 13118 14992 20614 26236 29984 41228 52472 59968 72149 82456 104944 119936 144298 164912 209888 288596 329824 419776 577192 659648 839552 1154384 1319296 2308768 4617536 9235072