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769060164 = 223292578599
BaseRepresentation
bin101101110101101…
…110110101000100
31222121010022012210
4231311232311010
53033334411124
6204151343420
725025621625
oct5565566504
91877108183
10769060164
11365129314
12195681b70
13c343c1b2
14741d3a4c
15477b4a29
hex2dd6ed44

769060164 has 48 divisors (see below), whose sum is σ = 1863792000. Its totient is φ = 246521856.

The previous prime is 769060153. The next prime is 769060199. The reversal of 769060164 is 461060967.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85137 + ... + 93735.

It is an arithmetic number, because the mean of its divisors is an integer number (38829000).

Almost surely, 2769060164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769060164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931896000).

769060164 is an abundant number, since it is smaller than the sum of its proper divisors (1094731836).

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

769060164 is a wasteful number, since it uses less digits than its factorization.

769060164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8892 (or 8890 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 769060164 is about 27731.9340111720. The cubic root of 769060164 is about 916.1925839171.

The spelling of 769060164 in words is "seven hundred sixty-nine million, sixty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 257 348 514 771 1028 1542 3084 7453 8599 14906 17198 22359 25797 29812 34396 44718 51594 89436 103188 249371 498742 748113 997484 1496226 2209943 2992452 4419886 6629829 8839772 13259658 26519316 64088347 128176694 192265041 256353388 384530082 769060164