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36142525 = 523741953
BaseRepresentation
bin1000100111011…
…1110110111101
32112000020020001
42021313312331
533223030100
63330354301
7616130536
oct211676675
975006201
1036142525
1119446461
121012b991
137645b13
144b2b68d
15328dd6a
hex2277dbd

36142525 has 24 divisors (see below), whose sum is σ = 47200104. Its totient is φ = 27417600.

The previous prime is 36142523. The next prime is 36142537. The reversal of 36142525 is 52524163.

It can be written as a sum of positive squares in 12 ways, for example, as 12581209 + 23561316 = 3547^2 + 4854^2 .

It is not a de Polignac number, because 36142525 - 21 = 36142523 is a prime.

It is a super-2 number, since 2×361425252 = 2612564226751250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36142493 and 36142502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36142523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37449 + ... + 38401.

It is an arithmetic number, because the mean of its divisors is an integer number (1966671).

Almost surely, 236142525 is an apocalyptic number.

It is an amenable number.

36142525 is a deficient number, since it is larger than the sum of its proper divisors (11057579).

36142525 is a wasteful number, since it uses less digits than its factorization.

36142525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1036 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 36142525 is about 6011.8653511202. The cubic root of 36142525 is about 330.6278984955.

Adding to 36142525 its reverse (52524163), we get a palindrome (88666688).

The spelling of 36142525 in words is "thirty-six million, one hundred forty-two thousand, five hundred twenty-five".

Divisors: 1 5 25 37 41 185 205 925 953 1025 1517 4765 7585 23825 35261 37925 39073 176305 195365 881525 976825 1445701 7228505 36142525