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542412261 = 3330616563
BaseRepresentation
bin100000010101001…
…000110111100101
31101210122101202000
4200111020313211
52102324143021
6125453435513
716304266566
oct4025106745
91353571660
10542412261
112591a53a6
1213179bb99
13884b4901
145207616d
1532944b26
hex20548de5

542412261 has 16 divisors (see below), whose sum is σ = 803958720. Its totient is φ = 361434960.

The previous prime is 542412257. The next prime is 542412307. The reversal of 542412261 is 162214245.

542412261 is a `hidden beast` number, since 542 + 41 + 22 + 61 = 666.

It is not a de Polignac number, because 542412261 - 22 = 542412257 is a prime.

It is a super-2 number, since 2×5424122612 = 588422121766264242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542412961) 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, 79366 + ... + 85928.

It is an arithmetic number, because the mean of its divisors is an integer number (50247420).

Almost surely, 2542412261 is an apocalyptic number.

It is an amenable number.

542412261 is a deficient number, since it is larger than the sum of its proper divisors (261546459).

542412261 is a wasteful number, since it uses less digits than its factorization.

542412261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9633 (or 9627 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 542412261 is about 23289.7458337355. The cubic root of 542412261 is about 815.5360549328.

The spelling of 542412261 in words is "five hundred forty-two million, four hundred twelve thousand, two hundred sixty-one".

Divisors: 1 3 9 27 3061 6563 9183 19689 27549 59067 82647 177201 20089343 60268029 180804087 542412261