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48520000 = 26541213
BaseRepresentation
bin1011100100010…
…1101101000000
310101022001221001
42321011231000
544410120000
64451541344
71126261504
oct271055500
9111261831
1048520000
112542a881
12142ba854
13a08a879
146630304
1543d646a
hex2e45b40

48520000 has 70 divisors (see below), whose sum is σ = 120413018. Its totient is φ = 19392000.

The previous prime is 48519997. The next prime is 48520001. The reversal of 48520000 is 2584.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 32901696 + 15618304 = 5736^2 + 3952^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 48520000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48520001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39394 + ... + 40606.

Almost surely, 248520000 is an apocalyptic number.

48520000 is a gapful number since it is divisible by the number (40) 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 48520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60206509).

48520000 is an abundant number, since it is smaller than the sum of its proper divisors (71893018).

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

48520000 is an equidigital number, since it uses as much as digits as its factorization.

48520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 48520000 is about 6965.6299069072. The cubic root of 48520000 is about 364.7317726616.

Adding to 48520000 its reverse (2584), we get a palindrome (48522584).

The spelling of 48520000 in words is "forty-eight million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1213 1250 1600 2000 2426 2500 4000 4852 5000 6065 8000 9704 10000 12130 19408 20000 24260 30325 38816 40000 48520 60650 77632 97040 121300 151625 194080 242600 303250 388160 485200 606500 758125 970400 1213000 1516250 1940800 2426000 3032500 4852000 6065000 9704000 12130000 24260000 48520000