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36396216 = 233456167
BaseRepresentation
bin1000101011010…
…1110010111000
32112111010020000
42022311302320
533304134331
63340033000
7621235263
oct212656270
975433200
1036396216
11195aa01a
1210232760
13770442c
144b95cda
1532de0e6
hex22b5cb8

36396216 has 40 divisors (see below), whose sum is σ = 101944920. Its totient is φ = 12131856.

The previous prime is 36396193. The next prime is 36396223. The reversal of 36396216 is 61269363.

36396216 is a `hidden beast` number, since 3 + 639 + 6 + 2 + 16 = 666.

36396216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 27436 + ... + 28731.

It is an arithmetic number, because the mean of its divisors is an integer number (2548623).

Almost surely, 236396216 is an apocalyptic number.

36396216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36396216 is an abundant number, since it is smaller than the sum of its proper divisors (65548704).

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

36396216 is a wasteful number, since it uses less digits than its factorization.

36396216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56185 (or 56172 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 36396216 is about 6032.9276475025. The cubic root of 36396216 is about 331.3996748064.

The spelling of 36396216 in words is "thirty-six million, three hundred ninety-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 56167 112334 168501 224668 337002 449336 505503 674004 1011006 1348008 1516509 2022012 3033018 4044024 4549527 6066036 9099054 12132072 18198108 36396216