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49000950 = 2355237109
BaseRepresentation
bin1011101011101…
…1000111110110
310102012111200000
42322323013312
5100021012300
64510132130
71133333625
oct272730766
9112174600
1049000950
1125729159
12144b1046
13a1c875b
1467176bc
15447dc00
hex2ebb1f6

49000950 has 144 divisors (see below), whose sum is σ = 141501360. Its totient is φ = 12597120.

The previous prime is 49000937. The next prime is 49000957. The reversal of 49000950 is 5900094.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49000957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 449496 + ... + 449604.

Almost surely, 249000950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49000950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70750680).

49000950 is an abundant number, since it is smaller than the sum of its proper divisors (92500410).

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

49000950 is a wasteful number, since it uses less digits than its factorization.

49000950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 49000950 is about 7000.0678568140. The cubic root of 49000950 is about 365.9329358444.

The spelling of 49000950 in words is "forty-nine million, nine hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 37 45 50 54 74 75 81 90 109 111 135 150 162 185 218 222 225 243 270 327 333 370 405 450 486 545 555 654 666 675 810 925 981 999 1090 1110 1215 1350 1635 1665 1850 1962 1998 2025 2430 2725 2775 2943 2997 3270 3330 4033 4050 4905 4995 5450 5550 5886 5994 6075 8066 8175 8325 8829 8991 9810 9990 12099 12150 14715 14985 16350 16650 17658 17982 20165 24198 24525 24975 26487 29430 29970 36297 40330 44145 44955 49050 49950 52974 60495 72594 73575 74925 88290 89910 100825 108891 120990 132435 147150 149850 181485 201650 217782 220725 224775 264870 302475 326673 362970 441450 449550 544455 604950 653346 662175 907425 980019 1088910 1324350 1633365 1814850 1960038 2722275 3266730 4900095 5444550 8166825 9800190 16333650 24500475 49000950