Search a number
-
+
54230784 = 283241293
BaseRepresentation
bin1100111011011…
…1111100000000
310210001012122120
43032313330000
5102340341114
65214204240
71225645146
oct316677400
9123035576
1054230784
1128680433
12161b3680
13b30a02a
1472b9596
154b635a9
hex33b7f00

54230784 has 72 divisors (see below), whose sum is σ = 145426512. Its totient is φ = 17940480.

The previous prime is 54230779. The next prime is 54230791. The reversal of 54230784 is 48703245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184942 + ... + 185234.

Almost surely, 254230784 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 54230784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72713256).

54230784 is an abundant number, since it is smaller than the sum of its proper divisors (91195728).

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

54230784 is a wasteful number, since it uses less digits than its factorization.

54230784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 54230784 is about 7364.1553487145. The cubic root of 54230784 is about 378.5140119537.

The spelling of 54230784 in words is "fifty-four million, two hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 241 256 293 384 482 586 723 768 879 964 1172 1446 1758 1928 2344 2892 3516 3856 4688 5784 7032 7712 9376 11568 14064 15424 18752 23136 28128 30848 37504 46272 56256 61696 70613 75008 92544 112512 141226 185088 211839 225024 282452 423678 564904 847356 1129808 1694712 2259616 3389424 4519232 6778848 9038464 13557696 18076928 27115392 54230784