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48105330 = 23571367263
BaseRepresentation
bin1011011110000…
…0011101110010
310100112000002220
42313200131302
544303332310
64435021510
71122613530
oct267403562
9110460086
1048105330
1125177279
121413a896
139c73bc0
146563150
154353670
hex2de0772

48105330 has 128 divisors (see below), whose sum is σ = 144764928. Its totient is φ = 9960192.

The previous prime is 48105329. The next prime is 48105371. The reversal of 48105330 is 3350184.

It is a super-3 number, since 3×481053303 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48105330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182779 + ... + 183041.

It is an arithmetic number, because the mean of its divisors is an integer number (1130976).

Almost surely, 248105330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48105330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72382464).

48105330 is an abundant number, since it is smaller than the sum of its proper divisors (96659598).

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

48105330 is a wasteful number, since it uses less digits than its factorization.

48105330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 48105330 is about 6935.8006026702. The cubic root of 48105330 is about 363.6897539599.

The spelling of 48105330 in words is "forty-eight million, one hundred five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 67 70 78 91 105 130 134 182 195 201 210 263 273 335 390 402 455 469 526 546 670 789 871 910 938 1005 1315 1365 1407 1578 1742 1841 2010 2345 2613 2630 2730 2814 3419 3682 3945 4355 4690 5226 5523 6097 6838 7035 7890 8710 9205 10257 11046 12194 13065 14070 17095 17621 18291 18410 20514 23933 26130 27615 30485 34190 35242 36582 47866 51285 52863 55230 60970 71799 88105 91455 102570 105726 119665 123347 143598 176210 182910 229073 239330 246694 264315 358995 370041 458146 528630 616735 687219 717990 740082 1145365 1233470 1374438 1603511 1850205 2290730 3207022 3436095 3700410 4810533 6872190 8017555 9621066 16035110 24052665 48105330