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36325328 = 24131710273
BaseRepresentation
bin1000101010010…
…0011111010000
32112100111222112
42022210133100
533244402303
63334324452
7620521514
oct212443720
975314875
1036325328
1119560836
12101b9728
1376ab0a0
144b78144
1532c80d8
hex22a47d0

36325328 has 40 divisors (see below), whose sum is σ = 80260488. Its totient is φ = 15777792.

The previous prime is 36325327. The next prime is 36325343. The reversal of 36325328 is 82352363.

It can be written as a sum of positive squares in 4 ways, for example, as 1420864 + 34904464 = 1192^2 + 5908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36325294 and 36325303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36325327) 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, 1601 + ... + 8672.

Almost surely, 236325328 is an apocalyptic number.

It is an amenable number.

36325328 is an abundant number, since it is smaller than the sum of its proper divisors (43935160).

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

36325328 is a wasteful number, since it uses less digits than its factorization.

36325328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10311 (or 10305 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

The square root of 36325328 is about 6027.0496928431. The cubic root of 36325328 is about 331.1843820185.

The spelling of 36325328 in words is "thirty-six million, three hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 10273 20546 41092 82184 133549 164368 174641 267098 349282 534196 698564 1068392 1397128 2136784 2270333 2794256 4540666 9081332 18162664 36325328