Search a number
-
+
54606324 = 22323533733
BaseRepresentation
bin1101000001001…
…1100111110100
310210202021210110
43100103213310
5102434400244
65230223020
71232101053
oct320234764
9123667713
1054606324
11289075a3
1216354a70
13b40bc46
14737639a
154bd99b9
hex34139f4

54606324 has 48 divisors (see below), whose sum is σ = 135499392. Its totient is φ = 17077632.

The previous prime is 54606319. The next prime is 54606337. The reversal of 54606324 is 42360645.

54606324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 54606291 and 54606300.

It is a congruent number.

It is an unprimeable number.

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, 12762 + ... + 16494.

It is an arithmetic number, because the mean of its divisors is an integer number (2822904).

Almost surely, 254606324 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 54606324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67749696).

54606324 is an abundant number, since it is smaller than the sum of its proper divisors (80893068).

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

54606324 is a wasteful number, since it uses less digits than its factorization.

54606324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 54606324 is about 7389.6091912902. The cubic root of 54606324 is about 379.3857203712.

Adding to 54606324 its reverse (42360645), we get a palindrome (96966969).

The spelling of 54606324 in words is "fifty-four million, six hundred six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 53 69 92 106 138 159 212 276 318 636 1219 2438 3657 3733 4876 7314 7466 11199 14628 14932 22398 44796 85859 171718 197849 257577 343436 395698 515154 593547 791396 1030308 1187094 2374188 4550527 9101054 13651581 18202108 27303162 54606324