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58441344 = 2731323509
BaseRepresentation
bin1101111011101…
…1111010000000
311001222010110020
43132323322000
5104430110334
65444333440
71306512633
oct336737200
9131863406
1058441344
112aa96935
12176a4280
13c1526a0
147a93c1a
1551e5e49
hex37bbe80

58441344 has 128 divisors (see below), whose sum is σ = 174787200. Its totient is φ = 17166336.

The previous prime is 58441337. The next prime is 58441363. The reversal of 58441344 is 44314485.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114562 + ... + 115070.

It is an arithmetic number, because the mean of its divisors is an integer number (1365525).

Almost surely, 258441344 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 58441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87393600).

58441344 is an abundant number, since it is smaller than the sum of its proper divisors (116345856).

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

58441344 is a wasteful number, since it uses less digits than its factorization.

58441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 550 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 58441344 is about 7644.6938460608. The cubic root of 58441344 is about 388.0670164469.

It can be divided in two parts, 58441 and 344, that added together give a palindrome (58785).

The spelling of 58441344 in words is "fifty-eight million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 128 138 156 184 192 208 276 299 312 368 384 416 509 552 598 624 736 832 897 1018 1104 1196 1248 1472 1527 1664 1794 2036 2208 2392 2496 2944 3054 3588 4072 4416 4784 4992 6108 6617 7176 8144 8832 9568 11707 12216 13234 14352 16288 19136 19851 23414 24432 26468 28704 32576 35121 38272 39702 46828 48864 52936 57408 65152 70242 79404 93656 97728 105872 114816 140484 152191 158808 187312 195456 211744 280968 304382 317616 374624 423488 456573 561936 608764 635232 749248 846976 913146 1123872 1217528 1270464 1498496 1826292 2247744 2435056 2540928 3652584 4495488 4870112 7305168 9740224 14610336 19480448 29220672 58441344