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36146772 = 22321004077
BaseRepresentation
bin1000100111100…
…0111001010100
32112000110001100
42021320321110
533223144042
63330430100
7616146114
oct211707124
975013040
1036146772
1119449672
1210132330
137647a2c
144b2d044
15329024c
hex2278e54

36146772 has 18 divisors (see below), whose sum is σ = 91371098. Its totient is φ = 12048912.

The previous prime is 36146681. The next prime is 36146783. The reversal of 36146772 is 27764163.

It can be written as a sum of positive squares in only one way, i.e., 20034576 + 16112196 = 4476^2 + 4014^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1004077 = 36146772 / (3 + 6 + 1 + 4 + 6 + 7 + 7 + 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 502003 + ... + 502074.

Almost surely, 236146772 is an apocalyptic number.

It is an amenable number.

36146772 is an abundant number, since it is smaller than the sum of its proper divisors (55224326).

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

36146772 is a wasteful number, since it uses less digits than its factorization.

36146772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004087 (or 1004082 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 36146772 is about 6012.2185589015. The cubic root of 36146772 is about 330.6408483534.

The spelling of 36146772 in words is "thirty-six million, one hundred forty-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 1004077 2008154 3012231 4016308 6024462 9036693 12048924 18073386 36146772