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36565728 = 2531920047
BaseRepresentation
bin1000101101111…
…1001011100000
32112210201202020
42023133023200
533330100403
63343421440
7622542423
oct213371340
975721666
1036565728
1119705411
12102b4880
137763634
144bdb9ba
153324453
hex22df2e0

36565728 has 48 divisors (see below), whose sum is σ = 101041920. Its totient is φ = 11546496.

The previous prime is 36565693. The next prime is 36565729. The reversal of 36565728 is 82756563.

36565728 is digitally balanced in base 2, 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 36565728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36565729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8200 + ... + 11847.

It is an arithmetic number, because the mean of its divisors is an integer number (2105040).

Almost surely, 236565728 is an apocalyptic number.

36565728 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

36565728 is an abundant number, since it is smaller than the sum of its proper divisors (64476192).

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

36565728 is a wasteful number, since it uses less digits than its factorization.

36565728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20079 (or 20071 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 36565728 is about 6046.9602280815. The cubic root of 36565728 is about 331.9133658889.

The spelling of 36565728 in words is "thirty-six million, five hundred sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 20047 40094 60141 80188 120282 160376 240564 320752 380893 481128 641504 761786 962256 1142679 1523572 1924512 2285358 3047144 4570716 6094288 9141432 12188576 18282864 36565728