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48310218 = 23211241541
BaseRepresentation
bin1011100001001…
…0011111001010
310100220102011100
42320102133022
544331411333
64443242230
71124426055
oct270223712
9110812140
1048310218
11252a7200
1214219376
13a016238
1465b7a9c
154394213
hex2e127ca

48310218 has 72 divisors (see below), whose sum is σ = 118076868. Its totient is φ = 14256000.

The previous prime is 48310211. The next prime is 48310237. The reversal of 48310218 is 81201384.

48310218 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 43125489 + 5184729 = 6567^2 + 2277^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 48310191 and 48310200.

It is not an unprimeable number, because it can be changed into a prime (48310211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89028 + ... + 89568.

Almost surely, 248310218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48310218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59038434).

48310218 is an abundant number, since it is smaller than the sum of its proper divisors (69766650).

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

48310218 is a wasteful number, since it uses less digits than its factorization.

48310218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 48310218 is about 6950.5552296201. Note that the first 3 decimals coincide. The cubic root of 48310218 is about 364.2053595050.

It can be divided in two parts, 483 and 10218, that added together give a palindrome (10701).

The spelling of 48310218 in words is "forty-eight million, three hundred ten thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 121 123 198 242 246 363 369 451 541 726 738 902 1082 1089 1353 1623 2178 2706 3246 4059 4869 4961 5951 8118 9738 9922 11902 14883 17853 22181 29766 35706 44362 44649 53559 65461 66543 89298 107118 130922 133086 196383 199629 243991 392766 399258 487982 589149 731973 1178298 1463946 2195919 2683901 4391838 5367802 8051703 16103406 24155109 48310218