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9136864 = 2511101257
BaseRepresentation
bin100010110110…
…101011100000
3122012012102101
4202312223200
54314334424
6523500144
7140443042
oct42665340
918165371
109136864
115180730
123087654
131b7ba39
1412dba92
15c07344
hex8b6ae0

9136864 has 48 divisors (see below), whose sum is σ = 19894896. Its totient is φ = 4096000.

The previous prime is 9136861. The next prime is 9136873. The reversal of 9136864 is 4686319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9136861) 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 7 ways as a sum of consecutive naturals, for example, 35424 + ... + 35680.

It is an arithmetic number, because the mean of its divisors is an integer number (414477).

Almost surely, 29136864 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 9136864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9947448).

9136864 is an abundant number, since it is smaller than the sum of its proper divisors (10758032).

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

9136864 is a wasteful number, since it uses less digits than its factorization.

9136864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 9136864 is about 3022.7245987685. The cubic root of 9136864 is about 209.0574843976.

It can be divided in two parts, 9136 and 864, that added together give a 4-th power (10000 = 104).

The spelling of 9136864 in words is "nine million, one hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 257 352 404 514 808 1028 1111 1616 2056 2222 2827 3232 4112 4444 5654 8224 8888 11308 17776 22616 25957 35552 45232 51914 90464 103828 207656 285527 415312 571054 830624 1142108 2284216 4568432 9136864