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54024300 = 2233521117107
BaseRepresentation
bin1100111000010…
…1100001101100
310202122201102000
43032011201230
5102312234200
65205532300
71224125151
oct316054154
9122581360
1054024300
112854a290
1216114090
13b267055
147264228
154b22300
hex338586c

54024300 has 288 divisors, whose sum is σ = 202487040. Its totient is φ = 12211200.

The previous prime is 54024287. The next prime is 54024301. The reversal of 54024300 is 342045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (54024301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 504847 + ... + 504953.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 254024300 is an apocalyptic number.

54024300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

54024300 is an abundant number, since it is smaller than the sum of its proper divisors (148462740).

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

54024300 is a wasteful number, since it uses less digits than its factorization.

54024300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 54024300 is about 7350.1224479596. The cubic root of 54024300 is about 378.0330029134.

Adding to 54024300 its reverse (342045), we get a palindrome (54366345).

The spelling of 54024300 in words is "fifty-four million, twenty-four thousand, three hundred".