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54276642 = 2347232081
BaseRepresentation
bin1100111100001…
…1001000100010
310210010112120000
43033003020202
5102343323032
65215200430
71226225640
oct317031042
9123115500
1054276642
1128701932
1216216116
13b324b74
1472cc190
154b71e7c
hex33c3222

54276642 has 80 divisors (see below), whose sum is σ = 145107072. Its totient is φ = 14826240.

The previous prime is 54276623. The next prime is 54276647. The reversal of 54276642 is 24667245.

54276642 is a `hidden beast` number, since 5 + 4 + 2 + 7 + 6 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54276597 and 54276606.

It is not an unprimeable number, because it can be changed into a prime (54276647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25042 + ... + 27122.

Almost surely, 254276642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54276642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72553536).

54276642 is an abundant number, since it is smaller than the sum of its proper divisors (90830430).

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

54276642 is a wasteful number, since it uses less digits than its factorization.

54276642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2116 counting only the distinct ones).

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

The square root of 54276642 is about 7367.2682861424. The cubic root of 54276642 is about 378.6206734224.

The spelling of 54276642 in words is "fifty-four million, two hundred seventy-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 189 207 322 378 414 483 567 621 966 1134 1242 1449 1863 2081 2898 3726 4162 4347 6243 8694 12486 13041 14567 18729 26082 29134 37458 43701 47863 56187 87402 95726 112374 131103 143589 168561 262206 287178 335041 337122 393309 430767 670082 786618 861534 1005123 1179927 1292301 2010246 2359854 2584602 3015369 3876903 6030738 7753806 9046107 18092214 27138321 54276642