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54325000 = 23554153
BaseRepresentation
bin1100111100111…
…0111100001000
310210012222220001
43033032330020
5102401400000
65220212344
71226516632
oct317167410
9123188801
1054325000
11287351a4
121623a0b4
13b340b92
147301a52
154b8146a
hex33cef08

54325000 has 96 divisors (see below), whose sum is σ = 132882120. Its totient is φ = 20800000.

The previous prime is 54324973. The next prime is 54325001. The reversal of 54325000 is 52345.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 34128964 + 20196036 = 5842^2 + 4494^2 .

It is not an unprimeable number, because it can be changed into a prime (54325001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1024974 + ... + 1025026.

Almost surely, 254325000 is an apocalyptic number.

54325000 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 54325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66441060).

54325000 is an abundant number, since it is smaller than the sum of its proper divisors (78557120).

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

54325000 is an equidigital number, since it uses as much as digits as its factorization.

54325000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 54325000 is about 7370.5495046163. The cubic root of 54325000 is about 378.7330845993.

Adding to 54325000 its reverse (52345), we get a palindrome (54377345).

The spelling of 54325000 in words is "fifty-four million, three hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 53 82 100 106 125 164 200 205 212 250 265 328 410 424 500 530 625 820 1000 1025 1060 1250 1325 1640 2050 2120 2173 2500 2650 3125 4100 4346 5000 5125 5300 6250 6625 8200 8692 10250 10600 10865 12500 13250 17384 20500 21730 25000 25625 26500 33125 41000 43460 51250 53000 54325 66250 86920 102500 108650 128125 132500 165625 205000 217300 256250 265000 271625 331250 434600 512500 543250 662500 1025000 1086500 1325000 1358125 2173000 2716250 5432500 6790625 10865000 13581250 27162500 54325000