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5718384 = 243373161
BaseRepresentation
bin10101110100000101110000
3101202112011000
4111310011300
52430442014
6322322000
766414450
oct25640560
911675130
105718384
113256341
121ab9300
131252a79
14a8bd60
1577e509
hex574170

5718384 has 160 divisors (see below), whose sum is σ = 19681280. Its totient is φ = 1555200.

The previous prime is 5718379. The next prime is 5718403. The reversal of 5718384 is 4838175.

5718384 is a `hidden beast` number, since 571 + 8 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93714 + ... + 93774.

It is an arithmetic number, because the mean of its divisors is an integer number (123008).

Almost surely, 25718384 is an apocalyptic number.

5718384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5718384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9840640).

5718384 is an abundant number, since it is smaller than the sum of its proper divisors (13962896).

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

5718384 is a wasteful number, since it uses less digits than its factorization.

5718384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 104 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 5718384 is about 2391.3142829833. The cubic root of 5718384 is about 178.8234373132.

The spelling of 5718384 in words is "five million, seven hundred eighteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 61 62 63 72 84 93 108 112 122 124 126 144 168 183 186 189 216 217 244 248 252 279 336 366 372 378 427 432 434 488 496 504 549 558 651 732 744 756 837 854 868 976 1008 1098 1116 1281 1302 1464 1488 1512 1647 1674 1708 1736 1891 1953 2196 2232 2562 2604 2928 3024 3294 3348 3416 3472 3782 3843 3906 4392 4464 5124 5208 5673 5859 6588 6696 6832 7564 7686 7812 8784 10248 10416 11346 11529 11718 13176 13237 13392 15128 15372 15624 17019 20496 22692 23058 23436 26352 26474 30256 30744 31248 34038 39711 45384 46116 46872 51057 52948 61488 68076 79422 90768 92232 93744 102114 105896 119133 136152 158844 184464 204228 211792 238266 272304 317688 357399 408456 476532 635376 714798 816912 953064 1429596 1906128 2859192 5718384