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768116250 = 23354112069
BaseRepresentation
bin101101110010001…
…000011000011010
31222112100100102000
4231302020120122
53033114210000
6204115221430
725014610656
oct5562103032
91875310360
10768116250
11364644120
121952a7876
13c319b675
1474029a66
154767a000
hex2dc8861a

768116250 has 160 divisors (see below), whose sum is σ = 2328004800. Its totient is φ = 186120000.

The previous prime is 768116231. The next prime is 768116281. The reversal of 768116250 is 52611867.

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 79 ways as a sum of consecutive naturals, for example, 370216 + ... + 372284.

It is an arithmetic number, because the mean of its divisors is an integer number (14550030).

Almost surely, 2768116250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768116250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164002400).

768116250 is an abundant number, since it is smaller than the sum of its proper divisors (1559888550).

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

768116250 is a wasteful number, since it uses less digits than its factorization.

768116250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 768116250 is about 27714.9102470132. The cubic root of 768116250 is about 915.8175976249.

The spelling of 768116250 in words is "seven hundred sixty-eight million, one hundred sixteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 90 99 110 125 135 150 165 198 225 250 270 275 297 330 375 450 495 550 594 625 675 750 825 990 1125 1250 1350 1375 1485 1650 1875 2069 2250 2475 2750 2970 3375 3750 4125 4138 4950 5625 6207 6750 6875 7425 8250 10345 11250 12375 12414 13750 14850 16875 18621 20625 20690 22759 24750 31035 33750 37125 37242 41250 45518 51725 55863 61875 62070 68277 74250 93105 103450 111726 113795 123750 136554 155175 185625 186210 204831 227590 258625 279315 310350 341385 371250 409662 465525 517250 558630 568975 614493 682770 775875 931050 1024155 1137950 1228986 1293125 1396575 1551750 1706925 2048310 2327625 2586250 2793150 2844875 3072465 3413850 3879375 4655250 5120775 5689750 6144930 6982875 7758750 8534625 10241550 11638125 13965750 14224375 15362325 17069250 23276250 25603875 28448750 30724650 34914375 42673125 51207750 69828750 76811625 85346250 128019375 153623250 256038750 384058125 768116250