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49945350 = 23527133659
BaseRepresentation
bin1011111010000…
…1101100000110
310110222111010210
42332201230012
5100241222400
64542300250
71144346160
oct276415406
9113874123
1049945350
1126213754
1214887686
13a469580
1468c1930
1545b8950
hex2fa1b06

49945350 has 96 divisors (see below), whose sum is σ = 152490240. Its totient is φ = 10535040.

The previous prime is 49945289. The next prime is 49945361. The reversal of 49945350 is 5354994.

49945350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 49945299 and 49945308.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11821 + ... + 15479.

It is an arithmetic number, because the mean of its divisors is an integer number (1588440).

Almost surely, 249945350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49945350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76245120).

49945350 is an abundant number, since it is smaller than the sum of its proper divisors (102544890).

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

49945350 is a wasteful number, since it uses less digits than its factorization.

49945350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 49945350 is about 7067.2024167983. The cubic root of 49945350 is about 368.2688793853.

The spelling of 49945350 in words is "forty-nine million, nine hundred forty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 75 78 91 105 130 150 175 182 195 210 273 325 350 390 455 525 546 650 910 975 1050 1365 1950 2275 2730 3659 4550 6825 7318 10977 13650 18295 21954 25613 36590 47567 51226 54885 76839 91475 95134 109770 128065 142701 153678 182950 237835 256130 274425 285402 332969 384195 475670 548850 640325 665938 713505 768390 998907 1189175 1280650 1427010 1664845 1920975 1997814 2378350 3329690 3567525 3841950 4994535 7135050 8324225 9989070 16648450 24972675 49945350