Search a number
-
+
49985000 = 235413769
BaseRepresentation
bin1011111010101…
…1010111101000
310111001111112022
42332223113220
5100244010000
64543204012
71144602602
oct276532750
9114044468
1049985000
112624051a
12148a6608
13a481630
1468d2172
1545c5585
hex2fab5e8

49985000 has 80 divisors (see below), whose sum is σ = 126287700. Its totient is φ = 18432000.

The previous prime is 49984999. The next prime is 49985011. The reversal of 49985000 is 58994.

It can be written as a sum of positive squares in 10 ways, for example, as 12945604 + 37039396 = 3598^2 + 6086^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64616 + ... + 65384.

Almost surely, 249985000 is an apocalyptic number.

49985000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49985000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63143850).

49985000 is an abundant number, since it is smaller than the sum of its proper divisors (76302700).

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

49985000 is a wasteful number, since it uses less digits than its factorization.

49985000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 49985000 is about 7070.0070721322. The cubic root of 49985000 is about 368.3663058644.

The spelling of 49985000 in words is "forty-nine million, nine hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 625 650 769 1000 1250 1300 1538 1625 2500 2600 3076 3250 3845 5000 6152 6500 7690 8125 9997 13000 15380 16250 19225 19994 30760 32500 38450 39988 49985 65000 76900 79976 96125 99970 153800 192250 199940 249925 384500 399880 480625 499850 769000 961250 999700 1249625 1922500 1999400 2499250 3845000 4998500 6248125 9997000 12496250 24992500 49985000