Search a number
-
+
54492928 = 28747647
BaseRepresentation
bin1100111111011…
…1111100000000
310210112112020121
43033313330000
5102422233203
65223550024
71231116340
oct317677400
9123475217
1054492928
112883a386
12162bb314
13b39c449
147346d20
154bb60bd
hex33f7f00

54492928 has 72 divisors (see below), whose sum is σ = 127153152. Its totient is φ = 22821888.

The previous prime is 54492923. The next prime is 54492929. The reversal of 54492928 is 82929445.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54492923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83901 + ... + 84547.

It is an arithmetic number, because the mean of its divisors is an integer number (1766016).

Almost surely, 254492928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54492928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63576576).

54492928 is an abundant number, since it is smaller than the sum of its proper divisors (72660224).

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

54492928 is an equidigital number, since it uses as much as digits as its factorization.

54492928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 703 counting only the distinct ones).

The product of its digits is 207360, while the sum is 43.

The square root of 54492928 is about 7381.9325382992. The cubic root of 54492928 is about 379.1229264092.

The spelling of 54492928 in words is "fifty-four million, four hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 256 329 376 448 647 658 752 896 1294 1316 1504 1792 2588 2632 3008 4529 5176 5264 6016 9058 10352 10528 12032 18116 20704 21056 30409 36232 41408 42112 60818 72464 82816 84224 121636 144928 165632 212863 243272 289856 425726 486544 579712 851452 973088 1159424 1702904 1946176 3405808 3892352 6811616 7784704 13623232 27246464 54492928