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48109140 = 2235519521
BaseRepresentation
bin1011011110000…
…1011001010100
310100112012100000
42313201121110
544303443030
64435051300
71122630612
oct267413124
9110465300
1048109140
112517a122
1214140b30
139c75861
1465646b2
154354860
hex2de1654

48109140 has 144 divisors (see below), whose sum is σ = 159606720. Its totient is φ = 12130560.

The previous prime is 48109129. The next prime is 48109157. The reversal of 48109140 is 4190184.

48109140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92080 + ... + 92600.

It is an arithmetic number, because the mean of its divisors is an integer number (1108380).

Almost surely, 248109140 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 48109140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79803360).

48109140 is an abundant number, since it is smaller than the sum of its proper divisors (111497580).

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

48109140 is a wasteful number, since it uses less digits than its factorization.

48109140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 48109140 is about 6936.0752591073. The cubic root of 48109140 is about 363.6993552618.

The spelling of 48109140 in words is "forty-eight million, one hundred nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 243 270 285 324 342 380 405 486 513 521 540 570 684 810 855 972 1026 1042 1140 1215 1539 1563 1620 1710 2052 2084 2430 2565 2605 3078 3126 3420 4617 4689 4860 5130 5210 6156 6252 7695 7815 9234 9378 9899 10260 10420 14067 15390 15630 18468 18756 19798 23085 23445 28134 29697 30780 31260 39596 42201 46170 46890 49495 56268 59394 70335 84402 89091 92340 93780 98990 118788 126603 140670 148485 168804 178182 197980 211005 253206 267273 281340 296970 356364 422010 445455 506412 534546 593940 633015 801819 844020 890910 1069092 1266030 1336365 1603638 1781820 2405457 2532060 2672730 3207276 4009095 4810914 5345460 8018190 9621828 12027285 16036380 24054570 48109140