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36381461 is a prime number
BaseRepresentation
bin1000101011001…
…0001100010101
32112110100222112
42022302030111
533303201321
63335440405
7621144254
oct212621425
975410875
1036381461
1119599a26
1210226105
1376ca7bc
144b9079b
1532d9a5b
hex22b2315

36381461 has 2 divisors, whose sum is σ = 36381462. Its totient is φ = 36381460.

The previous prime is 36381427. The next prime is 36381493. The reversal of 36381461 is 16418363.

It is an a-pointer prime, because the next prime (36381493) can be obtained adding 36381461 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34880836 + 1500625 = 5906^2 + 1225^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36381461 is a prime.

It is a super-2 number, since 2×363814612 = 2647221408989042, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36381421) 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 as a sum of consecutive naturals, namely, 18190730 + 18190731.

It is an arithmetic number, because the mean of its divisors is an integer number (18190731).

Almost surely, 236381461 is an apocalyptic number.

It is an amenable number.

36381461 is a deficient number, since it is larger than the sum of its proper divisors (1).

36381461 is an equidigital number, since it uses as much as digits as its factorization.

36381461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 32.

The square root of 36381461 is about 6031.7046512574. The cubic root of 36381461 is about 331.3548856894.

The spelling of 36381461 in words is "thirty-six million, three hundred eighty-one thousand, four hundred sixty-one".