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48013380 = 2232519101139
BaseRepresentation
bin1011011100101…
…0000001000100
310100100022222100
42313022001010
544242412010
64433032100
71122051462
oct267120104
9110308870
1048013380
1125114188
12140b5630
139c410ac
14653b832
1543362c0
hex2dca044

48013380 has 144 divisors (see below), whose sum is σ = 155937600. Its totient is φ = 11923200.

The previous prime is 48013379. The next prime is 48013391. The reversal of 48013380 is 8331084.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345351 + ... + 345489.

It is an arithmetic number, because the mean of its divisors is an integer number (1082900).

Almost surely, 248013380 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 48013380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77968800).

48013380 is an abundant number, since it is smaller than the sum of its proper divisors (107924220).

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

48013380 is a wasteful number, since it uses less digits than its factorization.

48013380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 48013380 is about 6929.1687813186. The cubic root of 48013380 is about 363.4578835870.

The spelling of 48013380 in words is "forty-eight million, thirteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 101 114 139 171 180 190 202 228 278 285 303 342 380 404 417 505 556 570 606 684 695 834 855 909 1010 1140 1212 1251 1390 1515 1668 1710 1818 1919 2020 2085 2502 2641 2780 3030 3420 3636 3838 4170 4545 5004 5282 5757 6060 6255 7676 7923 8340 9090 9595 10564 11514 12510 13205 14039 15846 17271 18180 19190 23028 23769 25020 26410 28078 28785 31692 34542 38380 39615 42117 47538 52820 56156 57570 69084 70195 79230 84234 86355 95076 115140 118845 126351 140390 158460 168468 172710 210585 237690 252702 266741 280780 345420 421170 475380 505404 533482 631755 800223 842340 1066964 1263510 1333705 1600446 2400669 2527020 2667410 3200892 4001115 4801338 5334820 8002230 9602676 12003345 16004460 24006690 48013380