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48582240 = 2535719761
BaseRepresentation
bin1011100101010…
…0111001100000
310101102020022020
42321110321200
544414112430
64453141440
71126641120
oct271247140
9111366266
1048582240
1125472613
121432a880
13a0accb5
146648c80
1543e9b10
hex2e54e60

48582240 has 192 divisors, whose sum is σ = 184343040. Its totient is φ = 10506240.

The previous prime is 48582229. The next prime is 48582241. The reversal of 48582240 is 4228584.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48582241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63460 + ... + 64220.

It is an arithmetic number, because the mean of its divisors is an integer number (960120).

Almost surely, 248582240 is an apocalyptic number.

48582240 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 48582240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92171520).

48582240 is an abundant number, since it is smaller than the sum of its proper divisors (135760800).

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

48582240 is a wasteful number, since it uses less digits than its factorization.

48582240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 48582240 is about 6970.0961255925. The cubic root of 48582240 is about 364.8876616817.

The spelling of 48582240 in words is "forty-eight million, five hundred eighty-two thousand, two hundred forty".