Search a number
-
+
54098224 = 2429313761
BaseRepresentation
bin1100111001011…
…1100100110000
310202210110210221
43032113210300
5102322120344
65211302424
71224553525
oct316274460
9122713727
1054098224
112859a884
121614aa14
13b2918ab
14728314c
154b39184
hex3397930

54098224 has 40 divisors (see below), whose sum is σ = 111957120. Its totient is φ = 25267200.

The previous prime is 54098207. The next prime is 54098227. The reversal of 54098224 is 42289045.

54098224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 54098224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54098227) 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 7 ways as a sum of consecutive naturals, for example, 12504 + ... + 16264.

It is an arithmetic number, because the mean of its divisors is an integer number (2798928).

Almost surely, 254098224 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 54098224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55978560).

54098224 is an abundant number, since it is smaller than the sum of its proper divisors (57858896).

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

54098224 is a wasteful number, since it uses less digits than its factorization.

54098224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 54098224 is about 7355.1494886236. The cubic root of 54098224 is about 378.2053511277.

The spelling of 54098224 in words is "fifty-four million, ninety-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 1798 3596 3761 7192 7522 14384 15044 30088 60176 109069 116591 218138 233182 436276 466364 872552 932728 1745104 1865456 3381139 6762278 13524556 27049112 54098224