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48553344 = 27357223
BaseRepresentation
bin1011100100110…
…1110110000000
310101100202200000
42321031312000
544412201334
64452400000
71126460640
oct271156600
9111322600
1048553344
1125452934
1214316000
13a09cab8
14663c520
1543e1299
hex2e4dd80

48553344 has 192 divisors, whose sum is σ = 166333440. Its totient is φ = 13810176.

The previous prime is 48553333. The next prime is 48553357. The reversal of 48553344 is 44335584.

48553344 is a `hidden beast` number, since 4 + 85 + 533 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48553299 and 48553308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217617 + ... + 217839.

It is an arithmetic number, because the mean of its divisors is an integer number (866320).

Almost surely, 248553344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83166720).

48553344 is an abundant number, since it is smaller than the sum of its proper divisors (117780096).

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

48553344 is an equidigital number, since it uses as much as digits as its factorization.

48553344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 235 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 48553344 is about 6968.0229620747. The cubic root of 48553344 is about 364.8153040671.

The spelling of 48553344 in words is "forty-eight million, five hundred fifty-three thousand, three hundred forty-four".