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768769050 = 235274317027
BaseRepresentation
bin101101110100100…
…111110000011010
31222120120111212210
4231310213300122
53033301102200
6204141215550
725023300120
oct5564476032
91876514783
10768769050
11364a4a625
121955615b6
13c336983a
1474159910
1547758650
hex2dd27c1a

768769050 has 96 divisors (see below), whose sum is σ = 2229714432. Its totient is φ = 171622080.

The previous prime is 768768977. The next prime is 768769069. The reversal of 768769050 is 50967867.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36637 + ... + 53663.

It is an arithmetic number, because the mean of its divisors is an integer number (23226192).

Almost surely, 2768769050 is an apocalyptic number.

768769050 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 768769050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114857216).

768769050 is an abundant number, since it is smaller than the sum of its proper divisors (1460945382).

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

768769050 is a wasteful number, since it uses less digits than its factorization.

768769050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17092 (or 17087 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 768769050 is about 27726.6848000261. The cubic root of 768769050 is about 916.0769665437.

The spelling of 768769050 in words is "seven hundred sixty-eight million, seven hundred sixty-nine thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 43 50 70 75 86 105 129 150 175 210 215 258 301 350 430 525 602 645 903 1050 1075 1290 1505 1806 2150 3010 3225 4515 6450 7525 9030 15050 17027 22575 34054 45150 51081 85135 102162 119189 170270 238378 255405 357567 425675 510810 595945 715134 732161 851350 1191890 1277025 1464322 1787835 2196483 2554050 2979725 3575670 3660805 4392966 5125127 5959450 7321610 8939175 10250254 10982415 15375381 17878350 18304025 21964830 25625635 30750762 36608050 51251270 54912075 76876905 109824150 128128175 153753810 256256350 384384525 768769050