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48584448 = 28351171
BaseRepresentation
bin1011100101010…
…1011100000000
310101102100100000
42321111130000
544414200243
64453200000
71126650423
oct271253400
9111370300
1048584448
1125474240
1214330000
13a0b0cc3
1466499ba
1543ea5d3
hex2e55700

48584448 has 216 divisors, whose sum is σ = 160707456. Its totient is φ = 14515200.

The previous prime is 48584423. The next prime is 48584489. The reversal of 48584448 is 84448584.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 684253 + ... + 684323.

It is an arithmetic number, because the mean of its divisors is an integer number (744016).

Almost surely, 248584448 is an apocalyptic number.

48584448 is a gapful number since it is divisible by the number (48) 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 48584448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80353728).

48584448 is an abundant number, since it is smaller than the sum of its proper divisors (112123008).

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

48584448 is an equidigital number, since it uses as much as digits as its factorization.

48584448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its digits is 655360, while the sum is 45.

The square root of 48584448 is about 6970.2545147218. The cubic root of 48584448 is about 364.8931894888.

The spelling of 48584448 in words is "forty-eight million, five hundred eighty-four thousand, four hundred forty-eight".