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48539400 = 233527213127
BaseRepresentation
bin1011100100101…
…0011100001000
310101100001112120
42321022130020
544411230100
64452211240
71126402200
oct271123410
9111301476
1048539400
1125443408
1214309b20
13a096650
146637400
1543dc0a0
hex2e4a708

48539400 has 288 divisors, whose sum is σ = 189987840. Its totient is φ = 10160640.

The previous prime is 48539377. The next prime is 48539419. The reversal of 48539400 is 493584.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 382137 + ... + 382263.

It is an arithmetic number, because the mean of its divisors is an integer number (659680).

Almost surely, 248539400 is an apocalyptic number.

48539400 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 48539400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

48539400 is an abundant number, since it is smaller than the sum of its proper divisors (141448440).

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

48539400 is a wasteful number, since it uses less digits than its factorization.

48539400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 48539400 is about 6967.0223194705. The cubic root of 48539400 is about 364.7803770416.

The spelling of 48539400 in words is "forty-eight million, five hundred thirty-nine thousand, four hundred".