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58229840 = 245412433
BaseRepresentation
bin1101111000100…
…0010001010000
311001120101022202
43132020101100
5104401323330
65440022332
71304642204
oct336102120
9131511282
1058229840
112a961a39
12176019a8
13c0aa336
147a3ab04
1551a3445
hex3788450

58229840 has 60 divisors (see below), whose sum is σ = 139087452. Its totient is φ = 22671360.

The previous prime is 58229803. The next prime is 58229861. The reversal of 58229840 is 4892285.

It can be written as a sum of positive squares in 6 ways, for example, as 33269824 + 24960016 = 5768^2 + 4996^2 .

It is a junction number, because it is equal to n+sod(n) for n = 58229794 and 58229803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134264 + ... + 134696.

Almost surely, 258229840 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 58229840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69543726).

58229840 is an abundant number, since it is smaller than the sum of its proper divisors (80857612).

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

58229840 is a wasteful number, since it uses less digits than its factorization.

58229840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 58229840 is about 7630.8479214305. The cubic root of 58229840 is about 387.5983018035.

The spelling of 58229840 in words is "fifty-eight million, two hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 433 656 820 866 1640 1681 1732 2165 3280 3362 3464 4330 6724 6928 8405 8660 13448 16810 17320 17753 26896 33620 34640 35506 67240 71012 88765 134480 142024 177530 284048 355060 710120 727873 1420240 1455746 2911492 3639365 5822984 7278730 11645968 14557460 29114920 58229840