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48538140 = 22357163709
BaseRepresentation
bin1011100100101…
…0001000011100
310101022222210220
42321022020130
544411210030
64452201340
71126365420
oct271121034
9111288726
1048538140
1125442472
1214309250
13a095bc1
146636b80
1543dba10
hex2e4a21c

48538140 has 96 divisors (see below), whose sum is σ = 156495360. Its totient is φ = 11010816.

The previous prime is 48538109. The next prime is 48538183. The reversal of 48538140 is 4183584.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 68106 + ... + 68814.

It is an arithmetic number, because the mean of its divisors is an integer number (1630160).

Almost surely, 248538140 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 48538140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78247680).

48538140 is an abundant number, since it is smaller than the sum of its proper divisors (107957220).

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

48538140 is a wasteful number, since it uses less digits than its factorization.

48538140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 48538140 is about 6966.9318928780. The cubic root of 48538140 is about 364.7772206556. Note that the first 3 decimals are identical.

The spelling of 48538140 in words is "forty-eight million, five hundred thirty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 163 210 326 420 489 652 709 815 978 1141 1418 1630 1956 2127 2282 2445 2836 3260 3423 3545 4254 4564 4890 4963 5705 6846 7090 8508 9780 9926 10635 11410 13692 14180 14889 17115 19852 21270 22820 24815 29778 34230 42540 49630 59556 68460 74445 99260 115567 148890 231134 297780 346701 462268 577835 693402 808969 1155670 1386804 1617938 1733505 2311340 2426907 3235876 3467010 4044845 4853814 6934020 8089690 9707628 12134535 16179380 24269070 48538140