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4212093000 = 233534729873
BaseRepresentation
bin1111101100001111…
…0111000001001000
3101212112210111100110
43323003313001020
532111243434000
61533543434320
7206244125343
oct37303670110
911775714313
104212093000
1118716868a5
129967559a0
1352185112b
142bd5a345a
15199bbc850
hexfb0f7048

4212093000 has 128 divisors (see below), whose sum is σ = 13421790720. Its totient is φ = 1099289600.

The previous prime is 4212092981. The next prime is 4212093029. The reversal of 4212093000 is 3902124.

4212093000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126064 + ... + 155936.

It is an arithmetic number, because the mean of its divisors is an integer number (104857740).

Almost surely, 24212093000 is an apocalyptic number.

4212093000 is a gapful number since it is divisible by the number (40) 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 4212093000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710895360).

4212093000 is an abundant number, since it is smaller than the sum of its proper divisors (9209697720).

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

4212093000 is a wasteful number, since it uses less digits than its factorization.

4212093000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29944 (or 29930 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 4212093000 is about 64900.6394421503. The cubic root of 4212093000 is about 1614.9756695495.

Adding to 4212093000 its reverse (3902124), we get a palindrome (4215995124).

The spelling of 4212093000 in words is "four billion, two hundred twelve million, ninety-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 125 141 150 188 200 235 250 282 300 375 376 470 500 564 600 705 750 940 1000 1128 1175 1410 1500 1880 2350 2820 3000 3525 4700 5640 5875 7050 9400 11750 14100 17625 23500 28200 29873 35250 47000 59746 70500 89619 119492 141000 149365 179238 238984 298730 358476 448095 597460 716952 746825 896190 1194920 1404031 1493650 1792380 2240475 2808062 2987300 3584760 3734125 4212093 4480950 5616124 5974600 7020155 7468250 8424186 8961900 11202375 11232248 14040310 14936500 16848372 17923800 21060465 22404750 28080620 29873000 33696744 35100775 42120930 44809500 56161240 70201550 84241860 89619000 105302325 140403100 168483720 175503875 210604650 280806200 351007750 421209300 526511625 702015500 842418600 1053023250 1404031000 2106046500 4212093000