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36149328 = 243427893
BaseRepresentation
bin1000100111100…
…1100001010000
32112000120120000
42021321201100
533223234303
63330450000
7616156425
oct211714120
975016500
1036149328
1119450586
1210133900
137648c47
144b2dd4c
153290da3
hex2279850

36149328 has 50 divisors (see below), whose sum is σ = 104630394. Its totient is φ = 12049344.

The previous prime is 36149299. The next prime is 36149329. The reversal of 36149328 is 82394163.

36149328 is a `hidden beast` number, since 3 + 614 + 9 + 32 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36144144 + 5184 = 6012^2 + 72^2 .

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 junction number, because it is equal to n+sod(n) for n = 36149292 and 36149301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36149329) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12651 + ... + 15242.

Almost surely, 236149328 is an apocalyptic number.

It is an amenable number.

36149328 is an abundant number, since it is smaller than the sum of its proper divisors (68481066).

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

36149328 is a wasteful number, since it uses less digits than its factorization.

36149328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27913 (or 27898 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 36149328 is about 6012.4311222666. The cubic root of 36149328 is about 330.6486415628.

The spelling of 36149328 in words is "thirty-six million, one hundred forty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 27893 55786 83679 111572 167358 223144 251037 334716 446288 502074 669432 753111 1004148 1338864 1506222 2008296 2259333 3012444 4016592 4518666 6024888 9037332 12049776 18074664 36149328