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36146461 = 134173929
BaseRepresentation
bin1000100111100…
…0110100011101
32112000102121211
42021320310131
533223141321
63330424421
7616145161
oct211706435
975012554
1036146461
111944940a
1210132111
137647850
144b2cca1
1532900e1
hex2278d1d

36146461 has 16 divisors (see below), whose sum is σ = 40466160. Its totient is φ = 32071680.

The previous prime is 36146449. The next prime is 36146479. The reversal of 36146461 is 16464163.

36146461 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 8 ways, for example, as 17388900 + 18757561 = 4170^2 + 4331^2 .

It is a cyclic number.

It is not a de Polignac number, because 36146461 - 27 = 36146333 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 (36146401) 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, 38445 + ... + 39373.

It is an arithmetic number, because the mean of its divisors is an integer number (2529135).

Almost surely, 236146461 is an apocalyptic number.

It is an amenable number.

36146461 is a deficient number, since it is larger than the sum of its proper divisors (4319699).

36146461 is a wasteful number, since it uses less digits than its factorization.

36146461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056.

The product of its digits is 10368, while the sum is 31.

The square root of 36146461 is about 6012.1926948494. The cubic root of 36146461 is about 330.6399000936.

The spelling of 36146461 in words is "thirty-six million, one hundred forty-six thousand, four hundred sixty-one".

Divisors: 1 13 41 73 533 929 949 2993 12077 38089 38909 67817 495157 881621 2780497 36146461