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49390848 = 2832131797
BaseRepresentation
bin1011110001101…
…0010100000000
310102221022111200
42330122110000
5100121001343
64522341200
71136546433
oct274322400
9112838450
1049390848
1125975091
121465a800
13a304070
1467b981a
1545094d3
hex2f1a500

49390848 has 216 divisors, whose sum is σ = 164055528. Its totient is φ = 14155776.

The previous prime is 49390813. The next prime is 49390849. The reversal of 49390848 is 84809394.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4875264 + 44515584 = 2208^2 + 6672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49390849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509136 + ... + 509232.

Almost surely, 249390848 is an apocalyptic number.

49390848 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 49390848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82027764).

49390848 is an abundant number, since it is smaller than the sum of its proper divisors (114664680).

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

49390848 is a wasteful number, since it uses less digits than its factorization.

49390848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 49390848 is about 7027.8622638751. The cubic root of 49390848 is about 366.9009426594.

The spelling of 49390848 in words is "forty-nine million, three hundred ninety thousand, eight hundred forty-eight".