Search a number
-
+
49894000 = 24531319101
BaseRepresentation
bin1011111001010…
…1001001110000
310110212212200221
42332111021300
5100233102000
64541222424
71144043362
oct276251160
9113785627
1049894000
1126189112
1214861a14
13a44c0a0
1468aad32
1545a861a
hex2f95270

49894000 has 160 divisors (see below), whose sum is σ = 138116160. Its totient is φ = 17280000.

The previous prime is 49893979. The next prime is 49894001. The reversal of 49894000 is 49894.

49894000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×498940002 = 4978822472000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49894001) 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, 493950 + ... + 494050.

It is an arithmetic number, because the mean of its divisors is an integer number (863226).

Almost surely, 249894000 is an apocalyptic number.

49894000 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 49894000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69058080).

49894000 is an abundant number, since it is smaller than the sum of its proper divisors (88222160).

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

49894000 is a wasteful number, since it uses less digits than its factorization.

49894000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 49894000 is about 7063.5685032425. The cubic root of 49894000 is about 368.1426274488.

49894000 divided by its reverse (49894) gives a cube (1000 = 103).

The spelling of 49894000 in words is "forty-nine million, eight hundred ninety-four thousand".

Divisors: 1 2 4 5 8 10 13 16 19 20 25 26 38 40 50 52 65 76 80 95 100 101 104 125 130 152 190 200 202 208 247 250 260 304 325 380 400 404 475 494 500 505 520 650 760 808 950 988 1000 1010 1040 1235 1300 1313 1520 1616 1625 1900 1919 1976 2000 2020 2375 2470 2525 2600 2626 3250 3800 3838 3952 4040 4750 4940 5050 5200 5252 6175 6500 6565 7600 7676 8080 9500 9595 9880 10100 10504 12350 12625 13000 13130 15352 19000 19190 19760 20200 21008 24700 24947 25250 26000 26260 30704 30875 32825 38000 38380 40400 47975 49400 49894 50500 52520 61750 65650 76760 95950 98800 99788 101000 105040 123500 124735 131300 153520 164125 191900 199576 202000 239875 247000 249470 262600 328250 383800 399152 479750 494000 498940 525200 623675 656500 767600 959500 997880 1247350 1313000 1919000 1995760 2494700 2626000 3118375 3838000 4989400 6236750 9978800 12473500 24947000 49894000