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54041940 = 22325300233
BaseRepresentation
bin1100111000100…
…1110101010100
310202200121121100
43032021311110
5102313320230
65210150100
71224230451
oct316116524
9122617540
1054041940
1128561567
1216122330
13b2720a4
14726a828
154b27660
hex3389d54

54041940 has 36 divisors (see below), whose sum is σ = 163927764. Its totient is φ = 14411136.

The previous prime is 54041921. The next prime is 54041951. The reversal of 54041940 is 4914045.

54041940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40602384 + 13439556 = 6372^2 + 3666^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 149937 + ... + 150296.

It is an arithmetic number, because the mean of its divisors is an integer number (4553549).

Almost surely, 254041940 is an apocalyptic number.

It is an amenable number.

54041940 is an abundant number, since it is smaller than the sum of its proper divisors (109885824).

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

54041940 is a wasteful number, since it uses less digits than its factorization.

54041940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300248 (or 300243 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 54041940 is about 7351.3223300302. The cubic root of 54041940 is about 378.0741435143.

Adding to 54041940 its reverse (4914045), we get a palindrome (58955985).

The spelling of 54041940 in words is "fifty-four million, forty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 300233 600466 900699 1200932 1501165 1801398 2702097 3002330 3602796 4503495 5404194 6004660 9006990 10808388 13510485 18013980 27020970 54041940