Search a number
-
+
54308928 = 263416899
BaseRepresentation
bin1100111100101…
…1000001000000
310210012011211210
43033023001000
5102400341203
65220010120
71226422032
oct317130100
9123164753
1054308928
1128724113
1216230940
13b33677b
1472d9c52
154b7b803
hex33cb040

54308928 has 56 divisors (see below), whose sum is σ = 147218400. Its totient is φ = 17658880.

The previous prime is 54308921. The next prime is 54308929. The reversal of 54308928 is 82980345.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (54308921) 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, 4423 + ... + 11321.

It is an arithmetic number, because the mean of its divisors is an integer number (2628900).

Almost surely, 254308928 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 54308928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73609200).

54308928 is an abundant number, since it is smaller than the sum of its proper divisors (92909472).

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

54308928 is a wasteful number, since it uses less digits than its factorization.

54308928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6955 (or 6945 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 54308928 is about 7369.4591389056. The cubic root of 54308928 is about 378.6957316402.

The spelling of 54308928 in words is "fifty-four million, three hundred eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 6899 7872 13798 20697 27596 41394 55192 82788 110384 165576 220768 282859 331152 441536 565718 662304 848577 1131436 1324608 1697154 2262872 3394308 4525744 6788616 9051488 13577232 18102976 27154464 54308928