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54039760 = 2452923293
BaseRepresentation
bin1100111000100…
…1010011010000
310202200111121121
43032021103100
5102313233020
65210132024
71224221215
oct316112320
9122614547
1054039760
112855a965
1216121014
13b2710b8
147269b0c
154b26baa
hex33894d0

54039760 has 40 divisors (see below), whose sum is σ = 129980520. Its totient is φ = 20869632.

The previous prime is 54039751. The next prime is 54039761. The reversal of 54039760 is 6793045.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 53993104 = 216^2 + 7348^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54039761) 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 7 ways as a sum of consecutive naturals, for example, 9327 + ... + 13966.

It is an arithmetic number, because the mean of its divisors is an integer number (3249513).

Almost surely, 254039760 is an apocalyptic number.

It is an amenable number.

54039760 is an abundant number, since it is smaller than the sum of its proper divisors (75940760).

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

54039760 is a wasteful number, since it uses less digits than its factorization.

54039760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23335 (or 23329 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 54039760 is about 7351.1740558907. The cubic root of 54039760 is about 378.0690597299.

The spelling of 54039760 in words is "fifty-four million, thirty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 23293 46586 93172 116465 186344 232930 372688 465860 675497 931720 1350994 1863440 2701988 3377485 5403976 6754970 10807952 13509940 27019880 54039760