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36004225 = 522953937
BaseRepresentation
bin1000100101011…
…0000110000001
32111202012111211
42021112012001
533204113400
63323410121
7615013405
oct211260601
974665454
1036004225
1119361564
1210083941
1375c7b9a
144ad3105
153262dba
hex2256181

36004225 has 24 divisors (see below), whose sum is σ = 47106360. Its totient is φ = 27256320.

The previous prime is 36004207. The next prime is 36004231. The reversal of 36004225 is 52240063.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 14409616 + 21594609 = 3796^2 + 4647^2 .

It is not a de Polignac number, because 36004225 - 27 = 36004097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36004196 and 36004205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37957 + ... + 38893.

It is an arithmetic number, because the mean of its divisors is an integer number (1962765).

Almost surely, 236004225 is an apocalyptic number.

It is an amenable number.

36004225 is a deficient number, since it is larger than the sum of its proper divisors (11102135).

36004225 is a wasteful number, since it uses less digits than its factorization.

36004225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 36004225 is about 6000.3520730037. The cubic root of 36004225 is about 330.2056416459.

Adding to 36004225 its reverse (52240063), we get a palindrome (88244288).

It can be divided in two parts, 3600 and 4225, that multiplied together give a square (15210000 = 39002).

The spelling of 36004225 in words is "thirty-six million, four thousand, two hundred twenty-five".

Divisors: 1 5 25 29 53 145 265 725 937 1325 1537 4685 7685 23425 27173 38425 49661 135865 248305 679325 1241525 1440169 7200845 36004225