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857513328 = 24372443823
BaseRepresentation
bin110011000111001…
…001110101110000
32012202120012010220
4303013021311300
53224010411303
6221031253040
730151512600
oct6307116560
92182505126
10857513328
11400053501
121bb21a180
1310886c049
1481c5ac00
1550438053
hex331c9d70

857513328 has 120 divisors (see below), whose sum is σ = 2585870208. Its totient is φ = 244153728.

The previous prime is 857513323. The next prime is 857513329. The reversal of 857513328 is 823315758.

857513328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 857513328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857513323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1041525 + ... + 1042347.

Almost surely, 2857513328 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 857513328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292935104).

857513328 is an abundant number, since it is smaller than the sum of its proper divisors (1728356880).

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

857513328 is a wasteful number, since it uses less digits than its factorization.

857513328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1278 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 857513328 is about 29283.3284993356. The cubic root of 857513328 is about 950.0510879267.

The spelling of 857513328 in words is "eight hundred fifty-seven million, five hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 443 588 784 823 886 1176 1329 1646 1772 2352 2469 2658 3101 3292 3544 4938 5316 5761 6202 6584 7088 9303 9876 10632 11522 12404 13168 17283 18606 19752 21264 21707 23044 24808 34566 37212 39504 40327 43414 46088 49616 65121 69132 74424 80654 86828 92176 120981 130242 138264 148848 161308 173656 241962 260484 276528 322616 347312 364589 483924 520968 645232 729178 967848 1041936 1093767 1458356 1935696 2187534 2552123 2916712 4375068 5104246 5833424 7656369 8750136 10208492 15312738 17500272 17864861 20416984 30625476 35729722 40833968 53594583 61250952 71459444 107189166 122501904 142918888 214378332 285837776 428756664 857513328