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857244384 = 25341632029
BaseRepresentation
bin110011000110001…
…000001011100000
32012202001112020000
4303012020023200
53223423310014
6221021420000
730146312523
oct6306101340
92182045200
10857244384
113aa98a437
121bb10a600
131087a67c9
1481bcabba
15503d3509
hex331882e0

857244384 has 120 divisors (see below), whose sum is σ = 2537849160. Its totient is φ = 283855104.

The previous prime is 857244371. The next prime is 857244391. The reversal of 857244384 is 483442758.

It is a happy number.

857244384 is a `hidden beast` number, since 8 + 572 + 44 + 38 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 421482 + ... + 423510.

It is an arithmetic number, because the mean of its divisors is an integer number (21148743).

Almost surely, 2857244384 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 857244384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268924580).

857244384 is an abundant number, since it is smaller than the sum of its proper divisors (1680604776).

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

857244384 is a wasteful number, since it uses less digits than its factorization.

857244384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2197 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 857244384 is about 29278.7360382924. The cubic root of 857244384 is about 949.9517552600.

The spelling of 857244384 in words is "eight hundred fifty-seven million, two hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 163 216 288 324 326 432 489 648 652 864 978 1296 1304 1467 1956 2029 2592 2608 2934 3912 4058 4401 5216 5868 6087 7824 8116 8802 11736 12174 13203 15648 16232 17604 18261 23472 24348 26406 32464 35208 36522 46944 48696 52812 54783 64928 70416 73044 97392 105624 109566 140832 146088 164349 194784 211248 219132 292176 328698 330727 422496 438264 584352 657396 661454 876528 992181 1314792 1322908 1753056 1984362 2629584 2645816 2976543 3968724 5259168 5291632 5953086 7937448 8929629 10583264 11906172 15874896 17859258 23812344 26788887 31749792 35718516 47624688 53577774 71437032 95249376 107155548 142874064 214311096 285748128 428622192 857244384