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36181328 = 242977977
BaseRepresentation
bin1000101000000…
…1010101010000
32112002012110012
42022001111100
533230300303
63331254052
7616351631
oct212012520
975065405
1036181328
1119472627
121014a328
13765a691
144b3b888
15329a5d8
hex2281550

36181328 has 20 divisors (see below), whose sum is σ = 72519540. Its totient is φ = 17466624.

The previous prime is 36181319. The next prime is 36181333. The reversal of 36181328 is 82318163.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20720704 + 15460624 = 4552^2 + 3932^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36181294 and 36181303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38525 + ... + 39452.

It is an arithmetic number, because the mean of its divisors is an integer number (3625977).

Almost surely, 236181328 is an apocalyptic number.

It is an amenable number.

36181328 is an abundant number, since it is smaller than the sum of its proper divisors (36338212).

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

36181328 is a wasteful number, since it uses less digits than its factorization.

36181328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78014 (or 78008 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 36181328 is about 6015.0916867493. The cubic root of 36181328 is about 330.7461780553.

The spelling of 36181328 in words is "thirty-six million, one hundred eighty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 77977 155954 311908 623816 1247632 2261333 4522666 9045332 18090664 36181328