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48539760 = 24351711897
BaseRepresentation
bin1011100100101…
…0100001110000
310101100002000220
42321022201300
544411233020
64452213040
71126403223
oct271124160
9111302026
1048539760
1125443705
121430a180
13a096869
1466375ba
1543dc240
hex2e4a870

48539760 has 80 divisors (see below), whose sum is σ = 159338016. Its totient is φ = 12181504.

The previous prime is 48539759. The next prime is 48539761. The reversal of 48539760 is 6793584.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48539759) and next prime (48539761).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×485397602 = 4712216601715200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48539761) 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, 1869 + ... + 10028.

Almost surely, 248539760 is an apocalyptic number.

48539760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48539760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79669008).

48539760 is an abundant number, since it is smaller than the sum of its proper divisors (110798256).

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

48539760 is a wasteful number, since it uses less digits than its factorization.

48539760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11930 (or 11924 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 48539760 is about 6967.0481554242. The cubic root of 48539760 is about 364.7812788561.

The spelling of 48539760 in words is "forty-eight million, five hundred thirty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 11897 23794 35691 47588 59485 71382 95176 118970 142764 178455 190352 202249 237940 285528 356910 404498 475880 571056 606747 713820 808996 951760 1011245 1213494 1427640 1617992 2022490 2426988 2855280 3033735 3235984 4044980 4853976 6067470 8089960 9707952 12134940 16179920 24269880 48539760