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200049920 = 285783269
BaseRepresentation
bin10111110110010…
…00010100000000
3111221102120220022
423323020110000
5402203044140
631503433012
74646252630
oct1373102400
9457376808
10200049920
11a2a17514
1256bb5768
13325a3c45
141c7d66c0
15128690b5
hexbec8500

200049920 has 144 divisors (see below), whose sum is σ = 556295040. Its totient is φ = 67510272.

The previous prime is 200049919. The next prime is 200049961. The reversal of 200049920 is 29940002.

It is a self number, because there is not a number n which added to its sum of digits gives 200049920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743546 + ... + 743814.

It is an arithmetic number, because the mean of its divisors is an integer number (3863160).

Almost surely, 2200049920 is an apocalyptic number.

200049920 is a gapful number since it is divisible by the number (20) 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 200049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278147520).

200049920 is an abundant number, since it is smaller than the sum of its proper divisors (356245120).

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

200049920 is an equidigital number, since it uses as much as digits as its factorization.

200049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 200049920 is about 14143.9004521384. The cubic root of 200049920 is about 584.8521992501.

Adding to 200049920 its reverse (29940002), we get a palindrome (229989922).

The spelling of 200049920 in words is "two hundred million, forty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 83 112 128 140 160 166 224 256 269 280 320 332 415 448 538 560 581 640 664 830 896 1076 1120 1162 1280 1328 1345 1660 1792 1883 2152 2240 2324 2656 2690 2905 3320 3766 4304 4480 4648 5312 5380 5810 6640 7532 8608 8960 9296 9415 10624 10760 11620 13280 15064 17216 18592 18830 21248 21520 22327 23240 26560 30128 34432 37184 37660 43040 44654 46480 53120 60256 68864 74368 75320 86080 89308 92960 106240 111635 120512 148736 150640 156289 172160 178616 185920 223270 241024 301280 312578 344320 357232 371840 446540 482048 602560 625156 714464 743680 781445 893080 1205120 1250312 1428928 1562890 1786160 2410240 2500624 2857856 3125780 3572320 5001248 5715712 6251560 7144640 10002496 12503120 14289280 20004992 25006240 28578560 40009984 50012480 100024960 200049920