Base | Representation |
---|---|
bin | 1011011101010… |
… | …1101111110111 |
3 | 10100102202220000 |
4 | 2313111233313 |
5 | 44300431211 |
6 | 4434042343 |
7 | 1122341535 |
oct | 267255767 |
9 | 110382800 |
10 | 48061431 |
11 | 251472a0 |
12 | 141193b3 |
13 | 9c59c22 |
14 | 6551155 |
15 | 4345656 |
hex | 2dd5bf7 |
48061431 has 80 divisors (see below), whose sum is σ = 87816960. Its totient is φ = 25816320.
The previous prime is 48061427. The next prime is 48061441. The reversal of 48061431 is 13416084.
48061431 is a `hidden beast` number, since 48 + 0 + 614 + 3 + 1 = 666.
48061431 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.
It is not a de Polignac number, because 48061431 - 22 = 48061427 is a prime.
It is a super-3 number, since 3×480614313 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 48061395 and 48061404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (48061441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 287710 + ... + 287876.
It is an arithmetic number, because the mean of its divisors is an integer number (1097712).
Almost surely, 248061431 is an apocalyptic number.
48061431 is a deficient number, since it is larger than the sum of its proper divisors (39755529).
48061431 is a wasteful number, since it uses less digits than its factorization.
48061431 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 226 (or 217 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 48061431 is about 6932.6352132504. The cubic root of 48061431 is about 363.5790907167.
The spelling of 48061431 in words is "forty-eight million, sixty-one thousand, four hundred thirty-one".
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