Search a number
-
+
54219880 = 23511139479
BaseRepresentation
bin1100111011010…
…1010001101000
310210000122200201
43032311101220
5102340014010
65214041544
71225601311
oct316652150
9123018621
1054219880
1128673220
12161a92b4
13b305090
1472b5608
154b6023a
hex33b5468

54219880 has 64 divisors (see below), whose sum is σ = 143337600. Its totient is φ = 18197760.

The previous prime is 54219877. The next prime is 54219881. The reversal of 54219880 is 8891245.

54219880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54219881) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 981 + ... + 10459.

It is an arithmetic number, because the mean of its divisors is an integer number (2239650).

Almost surely, 254219880 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 54219880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71668800).

54219880 is an abundant number, since it is smaller than the sum of its proper divisors (89117720).

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

54219880 is a wasteful number, since it uses less digits than its factorization.

54219880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9514 (or 9510 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 54219880 is about 7363.4149686134. The cubic root of 54219880 is about 378.4886414100.

The spelling of 54219880 in words is "fifty-four million, two hundred nineteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 9479 18958 37916 47395 75832 94790 104269 123227 189580 208538 246454 379160 417076 492908 521345 616135 834152 985816 1042690 1232270 1355497 2085380 2464540 2710994 4170760 4929080 5421988 6777485 10843976 13554970 27109940 54219880