Search a number
-
+
48013950 = 23521719991
BaseRepresentation
bin1011011100101…
…0001001111110
310100100100202110
42313022021332
544242421300
64433034450
71122053235
oct267121176
9110310673
1048013950
1125114656
12140b5a26
139c4142a
14653bb1c
154336550
hex2dca27e

48013950 has 96 divisors (see below), whose sum is σ = 132848640. Its totient is φ = 11404800.

The previous prime is 48013943. The next prime is 48013991. The reversal of 48013950 is 5931084.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 47955 + ... + 48945.

It is an arithmetic number, because the mean of its divisors is an integer number (1383840).

Almost surely, 248013950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48013950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66424320).

48013950 is an abundant number, since it is smaller than the sum of its proper divisors (84834690).

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

48013950 is a wasteful number, since it uses less digits than its factorization.

48013950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 48013950 is about 6929.2099116710. The cubic root of 48013950 is about 363.4593218678.

The spelling of 48013950 in words is "forty-eight million, thirteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 19 25 30 34 38 50 51 57 75 85 95 102 114 150 170 190 255 285 323 425 475 510 570 646 850 950 969 991 1275 1425 1615 1938 1982 2550 2850 2973 3230 4845 4955 5946 8075 9690 9910 14865 16150 16847 18829 24225 24775 29730 33694 37658 48450 49550 50541 56487 74325 84235 94145 101082 112974 148650 168470 188290 252705 282435 320093 421175 470725 505410 564870 640186 842350 941450 960279 1263525 1412175 1600465 1920558 2527050 2824350 3200930 4801395 8002325 9602790 16004650 24006975 48013950