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48314112 = 2837111943
BaseRepresentation
bin1011100001001…
…1011100000000
310100220121111120
42320103130000
544332022422
64443312240
71124443320
oct270233400
9110817446
1048314112
11252aa120
121421b680
13a017c42
1465b9280
15439545c
hex2e13700

48314112 has 288 divisors, whose sum is σ = 172677120. Its totient is φ = 11612160.

The previous prime is 48314059. The next prime is 48314137. The reversal of 48314112 is 21141384.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1123563 + ... + 1123605.

Almost surely, 248314112 is an apocalyptic number.

48314112 is a gapful number since it is divisible by the number (42) 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 48314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86338560).

48314112 is an abundant number, since it is smaller than the sum of its proper divisors (124363008).

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

48314112 is a wasteful number, since it uses less digits than its factorization.

48314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 48314112 is about 6950.8353454819. The cubic root of 48314112 is about 364.2151447198.

Adding to 48314112 its reverse (21141384), we get a palindrome (69455496).

The spelling of 48314112 in words is "forty-eight million, three hundred fourteen thousand, one hundred twelve".