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36640525 = 5217731181
BaseRepresentation
bin1000101111000…
…1011100001101
32112221112100111
42023301130031
533334444100
63345200021
7623303455
oct213613415
975845314
1036640525
1119756629
1210330011
13778b6ac
144c1ad65
15333b6ba
hex22f170d

36640525 has 24 divisors (see below), whose sum is σ = 48807144. Its totient is φ = 27187200.

The previous prime is 36640523. The next prime is 36640537. The reversal of 36640525 is 52504663.

36640525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 412164 + 36228361 = 642^2 + 6019^2 .

It is not a de Polignac number, because 36640525 - 21 = 36640523 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36640523) 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 23 ways as a sum of consecutive naturals, for example, 30435 + ... + 31615.

It is an arithmetic number, because the mean of its divisors is an integer number (2033631).

Almost surely, 236640525 is an apocalyptic number.

It is an amenable number.

36640525 is a deficient number, since it is larger than the sum of its proper divisors (12166619).

36640525 is a wasteful number, since it uses less digits than its factorization.

36640525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 36640525 is about 6053.1417462339. The cubic root of 36640525 is about 332.1395268043.

The spelling of 36640525 in words is "thirty-six million, six hundred forty thousand, five hundred twenty-five".

Divisors: 1 5 17 25 73 85 365 425 1181 1241 1825 5905 6205 20077 29525 31025 86213 100385 431065 501925 1465621 2155325 7328105 36640525