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49000050 = 232521119521
BaseRepresentation
bin1011101011101…
…0111001110010
310102012110102200
42322322321302
5100021000200
64510124030
71133331201
oct272727162
9112173380
1049000050
1125728510
12144b0616
13a1c8218
146717238
15447d800
hex2ebae72

49000050 has 144 divisors (see below), whose sum is σ = 151463520. Its totient is φ = 11232000.

The previous prime is 49000033. The next prime is 49000073. The reversal of 49000050 is 5000094.

49000050 is a nontrivial binomial coefficient, being equal to C(9900, 2).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 48999987 and 49000032.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93790 + ... + 94310.

It is an arithmetic number, because the mean of its divisors is an integer number (1051830).

Almost surely, 249000050 is an apocalyptic number.

49000050 is the 9899-th triangular number and also the 4950-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49000050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75731760).

49000050 is an abundant number, since it is smaller than the sum of its proper divisors (102463470).

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

49000050 is a wasteful number, since it uses less digits than its factorization.

49000050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 49000050 is about 7000.0035714277. The cubic root of 49000050 is about 365.9306954684.

The spelling of 49000050 in words is "forty-nine million, fifty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 25 30 33 38 45 50 55 57 66 75 90 95 99 110 114 150 165 171 190 198 209 225 275 285 330 342 418 450 475 495 521 550 570 627 825 855 950 990 1042 1045 1254 1425 1563 1650 1710 1881 2090 2475 2605 2850 3126 3135 3762 4275 4689 4950 5210 5225 5731 6270 7815 8550 9378 9405 9899 10450 11462 13025 15630 15675 17193 18810 19798 23445 26050 28655 29697 31350 34386 39075 46890 47025 49495 51579 57310 59394 78150 85965 89091 94050 98990 103158 108889 117225 143275 148485 171930 178182 217778 234450 247475 257895 286550 296970 326667 429825 445455 494950 515790 544445 653334 742425 859650 890910 980001 1088890 1289475 1484850 1633335 1960002 2227275 2578950 2722225 3266670 4454550 4900005 5444450 8166675 9800010 16333350 24500025 49000050