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54147834 = 23213192641
BaseRepresentation
bin1100111010001…
…1101011111010
310202212222212100
43032203223322
5102330212314
65212324230
71225151256
oct316435372
9122788770
1054147834
1128624084
1216173676
13b2ab350
147297266
154b48c09
hex33a3afa

54147834 has 72 divisors (see below), whose sum is σ = 133552692. Its totient is φ = 15759360.

The previous prime is 54147833. The next prime is 54147869. The reversal of 54147834 is 43874145.

It can be written as a sum of positive squares in 2 ways, for example, as 54066609 + 81225 = 7353^2 + 285^2 .

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54147833) 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, 84154 + ... + 84794.

Almost surely, 254147834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54147834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66776346).

54147834 is an abundant number, since it is smaller than the sum of its proper divisors (79404858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54147834 is a wasteful number, since it uses less digits than its factorization.

54147834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 678 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 54147834 is about 7358.5211829552. The cubic root of 54147834 is about 378.3209250697.

The spelling of 54147834 in words is "fifty-four million, one hundred forty-seven thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 361 494 641 722 741 1083 1282 1482 1923 2166 2223 3249 3846 4446 4693 5769 6498 8333 9386 11538 12179 14079 16666 24358 24999 28158 36537 42237 49998 73074 74997 84474 109611 149994 158327 219222 231401 316654 462802 474981 694203 949962 1388406 1424943 2082609 2849886 3008213 4165218 6016426 9024639 18049278 27073917 54147834