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36466241 = 721743777
BaseRepresentation
bin1000101100011…
…0111001000001
32112121200021112
42023012321001
533313404431
63341333105
7621646400
oct213067101
975550245
1036466241
1119647699
1210267195
13772a276
144bb3637
153304c2b
hex22c6e41

36466241 has 12 divisors (see below), whose sum is σ = 44916228. Its totient is φ = 29417472.

The previous prime is 36466231. The next prime is 36466267. The reversal of 36466241 is 14266463.

It can be written as a sum of positive squares in 2 ways, for example, as 12250000 + 24216241 = 3500^2 + 4921^2 .

It is not a de Polignac number, because 36466241 - 214 = 36449857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36466198 and 36466207.

It is not an unprimeable number, because it can be changed into a prime (36466211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21056 + ... + 22721.

It is an arithmetic number, because the mean of its divisors is an integer number (3743019).

Almost surely, 236466241 is an apocalyptic number.

It is an amenable number.

36466241 is a deficient number, since it is larger than the sum of its proper divisors (8449987).

36466241 is a wasteful number, since it uses less digits than its factorization.

36466241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43808 (or 43801 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 36466241 is about 6038.7284257532. The cubic root of 36466241 is about 331.6120723026.

The spelling of 36466241 in words is "thirty-six million, four hundred sixty-six thousand, two hundred forty-one".

Divisors: 1 7 17 49 119 833 43777 306439 744209 2145073 5209463 36466241