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54325400 = 23521491823
BaseRepresentation
bin1100111100111…
…1000010011000
310210020000102212
43033033002120
5102401403100
65220214252
71226521043
oct317170230
9123200385
1054325400
1128735528
121623a388
13b34110c
147301c5a
154b81635
hex33cf098

54325400 has 48 divisors (see below), whose sum is σ = 127224000. Its totient is φ = 21572480.

The previous prime is 54325399. The next prime is 54325457. The reversal of 54325400 is 452345.

54325400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 28889 + ... + 30711.

It is an arithmetic number, because the mean of its divisors is an integer number (2650500).

Almost surely, 254325400 is an apocalyptic number.

54325400 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 54325400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63612000).

54325400 is an abundant number, since it is smaller than the sum of its proper divisors (72898600).

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

54325400 is a wasteful number, since it uses less digits than its factorization.

54325400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 54325400 is about 7370.5766395853. The cubic root of 54325400 is about 378.7340141459.

Adding to 54325400 its reverse (452345), we get a palindrome (54777745).

The spelling of 54325400 in words is "fifty-four million, three hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 200 298 596 745 1192 1490 1823 2980 3646 3725 5960 7292 7450 9115 14584 14900 18230 29800 36460 45575 72920 91150 182300 271627 364600 543254 1086508 1358135 2173016 2716270 5432540 6790675 10865080 13581350 27162700 54325400