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48218112 = 21433109
BaseRepresentation
bin1011011111110…
…0000000000000
310100201201211000
42313330000000
544320434422
64441252000
71123563405
oct267740000
9110651730
1048218112
1125243a88
1214194000
139cb3337
1465922ac
154376cac
hex2dfc000

48218112 has 120 divisors (see below), whose sum is σ = 144174800. Its totient is φ = 15925248.

The previous prime is 48218063. The next prime is 48218119. The reversal of 48218112 is 21181284.

48218112 is a `hidden beast` number, since 482 + 181 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 not an unprimeable number, because it can be changed into a prime (48218119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442314 + ... + 442422.

Almost surely, 248218112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48218112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72087400).

48218112 is an abundant number, since it is smaller than the sum of its proper divisors (95956688).

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

48218112 is an equidigital number, since it uses as much as digits as its factorization.

48218112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 48218112 is about 6943.9262668896. The cubic root of 48218112 is about 363.9737532900.

Adding to 48218112 its product of digits (1024), we get a square (48219136 = 69442).

Adding to 48218112 its reverse (21181284), we get a palindrome (69399396).

The spelling of 48218112 in words is "forty-eight million, two hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 109 128 144 192 216 218 256 288 327 384 432 436 512 576 654 768 864 872 981 1024 1152 1308 1536 1728 1744 1962 2048 2304 2616 2943 3072 3456 3488 3924 4096 4608 5232 5886 6144 6912 6976 7848 8192 9216 10464 11772 12288 13824 13952 15696 16384 18432 20928 23544 24576 27648 27904 31392 36864 41856 47088 49152 55296 55808 62784 73728 83712 94176 110592 111616 125568 147456 167424 188352 221184 223232 251136 334848 376704 442368 446464 502272 669696 753408 892928 1004544 1339392 1506816 1785856 2009088 2678784 3013632 4018176 5357568 6027264 8036352 12054528 16072704 24109056 48218112