Search a number
-
+
54384428 = 22717611873
BaseRepresentation
bin1100111101110…
…1011100101100
310210100000102002
43033131130230
5102410300203
65221351432
71230155120
oct317353454
9123300362
1054384428
112877590a
1216268578
13b361c47
147319580
154b93d88
hex33dd72c

54384428 has 48 divisors (see below), whose sum is σ = 117117504. Its totient is φ = 21565440.

The previous prime is 54384427. The next prime is 54384437. The reversal of 54384428 is 82448345.

It is a junction number, because it is equal to n+sod(n) for n = 54384391 and 54384400.

It is not an unprimeable number, because it can be changed into a prime (54384427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28100 + ... + 29972.

It is an arithmetic number, because the mean of its divisors is an integer number (2439948).

Almost surely, 254384428 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 54384428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58558752).

54384428 is an abundant number, since it is smaller than the sum of its proper divisors (62733076).

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

54384428 is a wasteful number, since it uses less digits than its factorization.

54384428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1960 counting only the distinct ones).

The product of its digits is 122880, while the sum is 38.

The square root of 54384428 is about 7374.5798524391. The cubic root of 54384428 is about 378.8711373531.

The spelling of 54384428 in words is "fifty-four million, three hundred eighty-four thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 14 17 28 34 61 68 119 122 238 244 427 476 854 1037 1708 1873 2074 3746 4148 7259 7492 13111 14518 26222 29036 31841 52444 63682 114253 127364 222887 228506 445774 457012 799771 891548 1599542 1942301 3199084 3884602 7769204 13596107 27192214 54384428