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5858244 = 22367241
BaseRepresentation
bin10110010110001111000100
3102000122000000
4112112033010
52444430434
6325321300
7100536300
oct26261704
912018000
105858244
113341427
121b66230
1312a1622
14ac6d00
157aab99
hex5963c4

5858244 has 126 divisors (see below), whose sum is σ = 18316494. Its totient is φ = 1632960.

The previous prime is 5858243. The next prime is 5858263. The reversal of 5858244 is 4428585.

It can be written as a sum of positive squares in only one way, i.e., 3572100 + 2286144 = 1890^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a junction number, because it is equal to n+sod(n) for n = 5858199 and 5858208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5858243) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 142864 + ... + 142904.

It is an arithmetic number, because the mean of its divisors is an integer number (145369).

Almost surely, 25858244 is an apocalyptic number.

5858244 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 5858244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9158247).

5858244 is an abundant number, since it is smaller than the sum of its proper divisors (12458250).

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

5858244 is a wasteful number, since it uses less digits than its factorization.

5858244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 5858244 is about 2420.3809617496. The cubic root of 5858244 is about 180.2695960095.

The spelling of 5858244 in words is "five million, eight hundred fifty-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 49 54 63 81 82 84 98 108 123 126 147 162 164 189 196 243 246 252 287 294 324 369 378 441 486 492 567 574 588 729 738 756 861 882 972 1107 1134 1148 1323 1458 1476 1701 1722 1764 2009 2214 2268 2583 2646 2916 3321 3402 3444 3969 4018 4428 5103 5166 5292 6027 6642 6804 7749 7938 8036 9963 10206 10332 11907 12054 13284 15498 15876 18081 19926 20412 23247 23814 24108 29889 30996 35721 36162 39852 46494 47628 54243 59778 69741 71442 72324 92988 108486 119556 139482 142884 162729 209223 216972 278964 325458 418446 488187 650916 836892 976374 1464561 1952748 2929122 5858244