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48872142 = 232112191181
BaseRepresentation
bin1011101001101…
…1101011001110
310101221221222100
42322123223032
5100002402032
64503255530
71132256244
oct272335316
9111857870
1048872142
1125650400
121444a5a6
13a181c37
1466c2794
15445597c
hex2e9bace

48872142 has 72 divisors (see below), whose sum is σ = 122620680. Its totient is φ = 14018400.

The previous prime is 48872141. The next prime is 48872167. The reversal of 48872142 is 24127884.

It is a junction number, because it is equal to n+sod(n) for n = 48872097 and 48872106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48872141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40792 + ... + 41972.

It is an arithmetic number, because the mean of its divisors is an integer number (1703065).

Almost surely, 248872142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48872142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61310340).

48872142 is an abundant number, since it is smaller than the sum of its proper divisors (73748538).

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

48872142 is a wasteful number, since it uses less digits than its factorization.

48872142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1216 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 48872142 is about 6990.8613203238. The cubic root of 48872142 is about 365.6120138276.

The spelling of 48872142 in words is "forty-eight million, eight hundred seventy-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 121 171 198 209 242 342 363 418 627 726 1089 1181 1254 1881 2178 2299 2362 3543 3762 4598 6897 7086 10629 12991 13794 20691 21258 22439 25982 38973 41382 44878 67317 77946 116919 134634 142901 201951 233838 246829 285802 403902 428703 493658 740487 857406 1286109 1480974 2221461 2572218 2715119 4442922 5430238 8145357 16290714 24436071 48872142