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857235438 = 23217233492
BaseRepresentation
bin110011000110000…
…101111111101110
32012202001001221200
4303012011333232
53223423013223
6221021310330
730146244453
oct6306057756
92182031850
10857235438
113aa983744
121bb1053a6
131087a2707
1481bc782a
15503d0a43
hex33185fee

857235438 has 72 divisors (see below), whose sum is σ = 2058000048. Its totient is φ = 256506624.

The previous prime is 857235433. The next prime is 857235439. The reversal of 857235438 is 834532758.

857235438 is a `hidden beast` number, since 8 + 572 + 35 + 43 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 857235393 and 857235402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857235433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2456088 + ... + 2456436.

It is an arithmetic number, because the mean of its divisors is an integer number (28583334).

Almost surely, 2857235438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 857235438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029000024).

857235438 is an abundant number, since it is smaller than the sum of its proper divisors (1200764610).

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

857235438 is a wasteful number, since it uses less digits than its factorization.

857235438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 394 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 857235438 is about 29278.5832649054. The cubic root of 857235438 is about 949.9484507578.

The spelling of 857235438 in words is "eight hundred fifty-seven million, two hundred thirty-five thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 349 391 414 698 782 1047 1173 2094 2346 3141 3519 5933 6282 7038 8027 11866 16054 17799 24081 35598 48162 53397 72243 106794 121801 136459 144486 243602 272918 365403 409377 730806 818754 1096209 1228131 2070617 2192418 2456262 2801423 4141234 5602846 6211851 8404269 12423702 16808538 18635553 25212807 37271106 47624191 50425614 95248382 142872573 285745146 428617719 857235438