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48381660 = 223251797163
BaseRepresentation
bin1011100010001…
…1111011011100
310101001001011100
42320203323130
544341203120
64444553100
71125144255
oct270437334
9111031140
1048381660
1125345948
1214252790
13a03c902
1465d5b2c
1543aa490
hex2e23edc

48381660 has 144 divisors (see below), whose sum is σ = 157955616. Its totient is φ = 11943936.

The previous prime is 48381649. The next prime is 48381661. The reversal of 48381660 is 6618384.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48381661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296739 + ... + 296901.

It is an arithmetic number, because the mean of its divisors is an integer number (1096914).

Almost surely, 248381660 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 48381660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78977808).

48381660 is an abundant number, since it is smaller than the sum of its proper divisors (109573956).

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

48381660 is a wasteful number, since it uses less digits than its factorization.

48381660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48381660 is about 6955.6926326571. The cubic root of 48381660 is about 364.3848021767.

The spelling of 48381660 in words is "forty-eight million, three hundred eighty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 97 102 153 163 170 180 194 204 255 291 306 326 340 388 485 489 510 582 612 652 765 815 873 970 978 1020 1164 1455 1467 1530 1630 1649 1746 1940 1956 2445 2771 2910 2934 3060 3260 3298 3492 4365 4890 4947 5542 5820 5868 6596 7335 8245 8313 8730 9780 9894 11084 13855 14670 14841 15811 16490 16626 17460 19788 24735 24939 27710 29340 29682 31622 32980 33252 41565 47433 49470 49878 55420 59364 63244 74205 79055 83130 94866 98940 99756 124695 142299 148410 158110 166260 189732 237165 249390 268787 284598 296820 316220 474330 498780 537574 569196 711495 806361 948660 1075148 1343935 1422990 1612722 2419083 2687870 2845980 3225444 4031805 4838166 5375740 8063610 9676332 12095415 16127220 24190830 48381660