Base | Representation |
---|---|
bin | 1011011101011… |
… | …0000101000000 |
3 | 10100102211202010 |
4 | 2313112011000 |
5 | 44301002114 |
6 | 4434052520 |
7 | 1122345510 |
oct | 267260500 |
9 | 110384663 |
10 | 48062784 |
11 | 25148310 |
12 | 1411a140 |
13 | 9c5a723 |
14 | 6551840 |
15 | 4345c59 |
hex | 2dd6140 |
48062784 has 112 divisors (see below), whose sum is σ = 158593536. Its totient is φ = 12480000.
The previous prime is 48062779. The next prime is 48062789. The reversal of 48062784 is 48726084.
It is an interprime number because it is at equal distance from previous prime (48062779) and next prime (48062789).
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-3 number, since 3×480627843 (a number of 24 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (48062789) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 13159 + ... + 16409.
Almost surely, 248062784 is an apocalyptic number.
48062784 is a gapful number since it is divisible by the number (44) 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 48062784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79296768).
48062784 is an abundant number, since it is smaller than the sum of its proper divisors (110530752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48062784 is a wasteful number, since it uses less digits than its factorization.
48062784 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3284 (or 3274 counting only the distinct ones).
The product of its (nonzero) digits is 86016, while the sum is 39.
The square root of 48062784 is about 6932.7327945046. The cubic root of 48062784 is about 363.5825024468.
The spelling of 48062784 in words is "forty-eight million, sixty-two thousand, seven hundred eighty-four".
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