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541043961 = 3312672801
BaseRepresentation
bin100000001111111…
…010110011111001
31101201001212210020
4200033322303321
52102001401321
6125404241053
716256540433
oct4017726371
91351055706
10541043961
11258450377
12131240189
1388125b73
1451bdb653
15327744c6
hex203facf9

541043961 has 24 divisors (see below), whose sum is σ = 756808992. Its totient is φ = 343728000.

The previous prime is 541043959. The next prime is 541043963. The reversal of 541043961 is 169340145.

It is an interprime number because it is at equal distance from previous prime (541043959) and next prime (541043963).

It is not a de Polignac number, because 541043961 - 21 = 541043959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (541043963) 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, 191761 + ... + 194561.

It is an arithmetic number, because the mean of its divisors is an integer number (31533708).

Almost surely, 2541043961 is an apocalyptic number.

It is an amenable number.

541043961 is a deficient number, since it is larger than the sum of its proper divisors (215765031).

541043961 is a wasteful number, since it uses less digits than its factorization.

541043961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 541043961 is about 23260.3516955355. The cubic root of 541043961 is about 814.8497149719.

The spelling of 541043961 in words is "five hundred forty-one million, forty-three thousand, nine hundred sixty-one".

Divisors: 1 3 31 67 93 201 961 2077 2801 2883 6231 8403 64387 86831 187667 193161 260493 563001 2691761 5817677 8075283 17453031 180347987 541043961