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48542112 = 2533192957
BaseRepresentation
bin1011100100101…
…1000110100000
310101100012021000
42321023012200
544411321422
64452232000
71126413123
oct271130640
9111305230
1048542112
1125445453
121430b600
13a097958
1466383ba
1543dccac
hex2e4b1a0

48542112 has 96 divisors (see below), whose sum is σ = 149083200. Its totient is φ = 15323904.

The previous prime is 48542111. The next prime is 48542119. The reversal of 48542112 is 21124584.

48542112 is a `hidden beast` number, since 4 + 8 + 542 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (48542111) 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, 14938 + ... + 17894.

It is an arithmetic number, because the mean of its divisors is an integer number (1552950).

Almost surely, 248542112 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 48542112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74541600).

48542112 is an abundant number, since it is smaller than the sum of its proper divisors (100541088).

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

48542112 is a wasteful number, since it uses less digits than its factorization.

48542112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2981 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 48542112 is about 6967.2169479642. The cubic root of 48542112 is about 364.7871706014.

Adding to 48542112 its reverse (21124584), we get a palindrome (69666696).

The spelling of 48542112 in words is "forty-eight million, five hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 2957 4104 5472 5914 8208 8871 11828 16416 17742 23656 26613 35484 47312 53226 56183 70968 79839 94624 106452 112366 141936 159678 168549 212904 224732 283872 319356 337098 425808 449464 505647 638712 674196 851616 898928 1011294 1277424 1348392 1516941 1797856 2022588 2554848 2696784 3033882 4045176 5393568 6067764 8090352 12135528 16180704 24271056 48542112