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426743541 = 32723294509
BaseRepresentation
bin11001011011111…
…001011011110101
31002201222211002100
4121123321123311
51333221243131
6110202332313
713401155160
oct3133713365
91081884070
10426743541
111a9981814
12baaba099
136a546293
1440966ad7
15276e77e6
hex196f96f5

426743541 has 24 divisors (see below), whose sum is σ = 735096960. Its totient is φ = 233250336.

The previous prime is 426743531. The next prime is 426743573. The reversal of 426743541 is 145347624.

426743541 is a `hidden beast` number, since 42 + 6 + 74 + 3 + 541 = 666.

It is not a de Polignac number, because 426743541 - 27 = 426743413 is a prime.

It is a super-2 number, since 2×4267435412 = 364220099570437362, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 426743496 and 426743505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426743521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145806 + ... + 148703.

It is an arithmetic number, because the mean of its divisors is an integer number (30629040).

Almost surely, 2426743541 is an apocalyptic number.

It is an amenable number.

426743541 is a deficient number, since it is larger than the sum of its proper divisors (308353419).

426743541 is a wasteful number, since it uses less digits than its factorization.

426743541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294545 (or 294542 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 426743541 is about 20657.7719272917. The cubic root of 426743541 is about 752.8740338380.

Subtracting from 426743541 its sum of digits (36), we obtain a triangular number (426743505 = T29214).

The spelling of 426743541 in words is "four hundred twenty-six million, seven hundred forty-three thousand, five hundred forty-one".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 294509 883527 2061563 2650581 6184689 6773707 18554067 20321121 47415949 60963363 142247847 426743541