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36363141 = 335325411
BaseRepresentation
bin1000101010110…
…1101110000101
32112102102212000
42022231232011
533302110031
63335215513
7621036663
oct212555605
975372760
1036363141
1119587191
1210217599
1376c2369
144b87c33
1532d43e6
hex22adb85

36363141 has 16 divisors (see below), whose sum is σ = 54889920. Its totient is φ = 23783760.

The previous prime is 36363127. The next prime is 36363143. The reversal of 36363141 is 14136363.

36363141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36363141 - 25 = 36363109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36363143) 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 15 ways as a sum of consecutive naturals, for example, 11275 + ... + 14136.

It is an arithmetic number, because the mean of its divisors is an integer number (3430620).

Almost surely, 236363141 is an apocalyptic number.

It is an amenable number.

36363141 is a deficient number, since it is larger than the sum of its proper divisors (18526779).

36363141 is a wasteful number, since it uses less digits than its factorization.

36363141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25473 (or 25467 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 36363141 is about 6030.1858180325. The cubic root of 36363141 is about 331.2992580836.

It can be divided in two parts, 363 and 63141, that added together give a square (63504 = 2522).

The spelling of 36363141 in words is "thirty-six million, three hundred sixty-three thousand, one hundred forty-one".

Divisors: 1 3 9 27 53 159 477 1431 25411 76233 228699 686097 1346783 4040349 12121047 36363141