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541424961 = 327211111611
BaseRepresentation
bin100000010001010…
…111110101000001
31101201210020102100
4200101113311001
52102101044321
6125420341013
716263015300
oct4021276501
91351706370
10541424961
11258690650
121313a4769
138822a3cc
1451c9a437
15327ec326
hex20457d41

541424961 has 36 divisors (see below), whose sum is σ = 992453904. Its totient is φ = 281257200.

The previous prime is 541424953. The next prime is 541424971. The reversal of 541424961 is 169424145.

541424961 is a `hidden beast` number, since 541 + 4 + 24 + 96 + 1 = 666.

It is not a de Polignac number, because 541424961 - 23 = 541424953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (541424941) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50955 + ... + 60656.

It is an arithmetic number, because the mean of its divisors is an integer number (27568164).

Almost surely, 2541424961 is an apocalyptic number.

It is an amenable number.

541424961 is a deficient number, since it is larger than the sum of its proper divisors (451028943).

541424961 is a wasteful number, since it uses less digits than its factorization.

541424961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111642 (or 111632 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 541424961 is about 23268.5401561851. The cubic root of 541424961 is about 815.0409408969.

The spelling of 541424961 in words is "five hundred forty-one million, four hundred twenty-four thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1617 4851 111611 334833 781277 1004499 1227721 2343831 3683163 5468939 7031493 8594047 11049489 16406817 25782141 49220451 60158329 77346423 180474987 541424961