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849730128 = 243133793593
BaseRepresentation
bin110010101001011…
…101101001010000
32012012220202121020
4302221131221100
53220012331003
6220152355440
730025405212
oct6251355120
92165822536
10849730128
113a6717905
121b86a5b80
131070754c0
1480bd25b2
154e8ebd53
hex32a5da50

849730128 has 80 divisors (see below), whose sum is σ = 2370889920. Its totient is φ = 260692992.

The previous prime is 849730109. The next prime is 849730153. The reversal of 849730128 is 821037948.

It is a self number, because there is not a number n which added to its sum of digits gives 849730128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234700 + ... + 238292.

It is an arithmetic number, because the mean of its divisors is an integer number (29636124).

Almost surely, 2849730128 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 849730128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185444960).

849730128 is an abundant number, since it is smaller than the sum of its proper divisors (1521159792).

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

849730128 is a wasteful number, since it uses less digits than its factorization.

849730128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 849730128 is about 29150.1308401866. The cubic root of 849730128 is about 947.1679751335.

The spelling of 849730128 in words is "eight hundred forty-nine million, seven hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 379 624 758 1137 1516 2274 3032 3593 4548 4927 6064 7186 9096 9854 10779 14372 14781 18192 19708 21558 28744 29562 39416 43116 46709 57488 59124 78832 86232 93418 118248 140127 172464 186836 236496 280254 373672 560508 747344 1121016 1361747 2242032 2723494 4085241 5446988 8170482 10893976 16340964 17702711 21787952 32681928 35405422 53108133 65363856 70810844 106216266 141621688 212432532 283243376 424865064 849730128