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54116433 = 327241273
BaseRepresentation
bin1100111001110…
…0000001010001
310202211101210100
43032130001101
5102323211213
65211523013
71224660600
oct316340121
9122741710
1054116433
1128602528
1216159469
13b299c77
147289a37
154b3e773
hex339c051

54116433 has 54 divisors (see below), whose sum is σ = 94478982. Its totient is φ = 29756160.

The previous prime is 54116431. The next prime is 54116441. The reversal of 54116433 is 33461145.

54116433 is a `hidden beast` number, since 5 + 4 + 11 + 643 + 3 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1016064 + 53100369 = 1008^2 + 7287^2 .

It is not a de Polignac number, because 54116433 - 21 = 54116431 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54116397 and 54116406.

It is not an unprimeable number, because it can be changed into a prime (54116431) 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 53 ways as a sum of consecutive naturals, for example, 741285 + ... + 741357.

Almost surely, 254116433 is an apocalyptic number.

It is an amenable number.

54116433 is a deficient number, since it is larger than the sum of its proper divisors (40362549).

54116433 is a wasteful number, since it uses less digits than its factorization.

54116433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 124 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 54116433 is about 7356.3872247184. The cubic root of 54116433 is about 378.2477799310.

Subtracting from 54116433 its sum of digits (27), we obtain a triangular number (54116406 = T10403).

Adding to 54116433 its reverse (33461145), we get a palindrome (87577578).

The spelling of 54116433 in words is "fifty-four million, one hundred sixteen thousand, four hundred thirty-three".

Divisors: 1 3 7 9 21 41 49 63 73 123 147 219 287 369 441 511 657 861 1533 1681 2009 2583 2993 3577 4599 5043 6027 8979 10731 11767 15129 18081 20951 26937 32193 35301 62853 82369 105903 122713 146657 188559 247107 368139 439971 741321 858991 1104417 1319913 2576973 6012937 7730919 18038811 54116433