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2050446330 = 2325172312543
BaseRepresentation
bin111101000110111…
…0101001111111010
312021220021110120200
41322031311033322
513144403240310
6535244103030
7101545335432
oct17215651772
95256243520
102050446330
11962472749
12492834a76
13268a5a96a
1415646b2c2
15c00299c0
hex7a3753fa

2050446330 has 144 divisors (see below), whose sum is σ = 5848187904. Its totient is φ = 497825280.

The previous prime is 2050446319. The next prime is 2050446331. The reversal of 2050446330 is 336440502.

2050446330 is a `hidden beast` number, since 20 + 5 + 0 + 4 + 4 + 633 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2050446294 and 2050446303.

It is not an unprimeable number, because it can be changed into a prime (2050446331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 805039 + ... + 807581.

It is an arithmetic number, because the mean of its divisors is an integer number (40612416).

Almost surely, 22050446330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050446330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924093952).

2050446330 is an abundant number, since it is smaller than the sum of its proper divisors (3797741574).

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

2050446330 is a wasteful number, since it uses less digits than its factorization.

2050446330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2050446330 is about 45281.8543127377. The cubic root of 2050446330 is about 1270.4262792883.

Adding to 2050446330 its reverse (336440502), we get a palindrome (2386886832).

The spelling of 2050446330 in words is "two billion, fifty million, four hundred forty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 31 34 45 51 62 85 90 93 102 153 155 170 186 255 279 289 306 310 465 510 527 558 578 765 867 930 1054 1395 1445 1530 1581 1734 2543 2601 2635 2790 2890 3162 4335 4743 5086 5202 5270 7629 7905 8670 8959 9486 12715 13005 15258 15810 17918 22887 23715 25430 26010 26877 38145 43231 44795 45774 47430 53754 76290 78833 80631 86462 89590 114435 129693 134385 157666 161262 216155 228870 236499 259386 268770 389079 394165 403155 432310 472998 648465 709497 734927 778158 788330 806310 1182495 1296930 1340161 1418994 1469854 1945395 2204781 2364990 2680322 3547485 3674635 3890790 4020483 4409562 6614343 6700805 7094970 7349270 8040966 11023905 12061449 13228686 13401610 20102415 22047810 22782737 24122898 33071715 40204830 45565474 60307245 66143430 68348211 113913685 120614490 136696422 205044633 227827370 341741055 410089266 683482110 1025223165 2050446330