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48017860 = 225111737347
BaseRepresentation
bin1011011100101…
…1000111000100
310100100120010021
42313023013010
544243032420
64433104524
71122100522
oct267130704
9110316107
1048017860
1125117590
12140b8144
139c43147
14653d312
1543377aa
hex2dcb1c4

48017860 has 96 divisors (see below), whose sum is σ = 119968128. Its totient is φ = 15943680.

The previous prime is 48017857. The next prime is 48017869. The reversal of 48017860 is 6871084.

It is a happy number.

48017860 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 (34).

It is not an unprimeable number, because it can be changed into a prime (48017869) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 138207 + ... + 138553.

It is an arithmetic number, because the mean of its divisors is an integer number (1249668).

Almost surely, 248017860 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 48017860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59984064).

48017860 is an abundant number, since it is smaller than the sum of its proper divisors (71950268).

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

48017860 is a wasteful number, since it uses less digits than its factorization.

48017860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 48017860 is about 6929.4920448760. The cubic root of 48017860 is about 363.4691876629.

The spelling of 48017860 in words is "forty-eight million, seventeen thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 37 44 55 68 74 85 110 148 170 185 187 220 340 347 370 374 407 629 694 740 748 814 935 1258 1388 1628 1735 1870 2035 2516 3145 3470 3740 3817 4070 5899 6290 6919 6940 7634 8140 11798 12580 12839 13838 15268 19085 23596 25678 27676 29495 34595 38170 51356 58990 64195 64889 69190 76340 117980 128390 129778 138380 141229 218263 256780 259556 282458 324445 436526 564916 648890 706145 873052 1091315 1297780 1412290 2182630 2400893 2824580 4365260 4801786 9603572 12004465 24008930 48017860