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54432420 = 223572941109
BaseRepresentation
bin1100111110100…
…1001010100100
310210102110020120
43033221022210
5102413314140
65222401540
71230445050
oct317511244
9123373216
1054432420
11287a8979
12162902b0
13b37aa43
14732cc60
154ba31d0
hex33e92a4

54432420 has 192 divisors, whose sum is σ = 186278400. Its totient is φ = 11612160.

The previous prime is 54432409. The next prime is 54432437. The reversal of 54432420 is 2423445.

54432420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 499326 + ... + 499434.

It is an arithmetic number, because the mean of its divisors is an integer number (970200).

Almost surely, 254432420 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 54432420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93139200).

54432420 is an abundant number, since it is smaller than the sum of its proper divisors (131845980).

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

54432420 is a wasteful number, since it uses less digits than its factorization.

54432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 54432420 is about 7377.8330151881. The cubic root of 54432420 is about 378.9825506037.

Adding to 54432420 its reverse (2423445), we get a palindrome (56855865).

The spelling of 54432420 in words is "fifty-four million, four hundred thirty-two thousand, four hundred twenty".