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58390794 = 23471131151
BaseRepresentation
bin1101111010111…
…1100100001010
311001212120010000
43132233210022
5104422001134
65443303430
71306212360
oct336574412
9131776100
1058390794
112aa61960
121767ab76
13c135687
147a7d630
1551d5e99
hex37af90a

58390794 has 160 divisors (see below), whose sum is σ = 169500672. Its totient is φ = 14580000.

The previous prime is 58390793. The next prime is 58390823. The reversal of 58390794 is 49709385.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (58390793) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 386619 + ... + 386769.

Almost surely, 258390794 is an apocalyptic number.

58390794 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 58390794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84750336).

58390794 is an abundant number, since it is smaller than the sum of its proper divisors (111109878).

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

58390794 is a wasteful number, since it uses less digits than its factorization.

58390794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 58390794 is about 7641.3869159990. The cubic root of 58390794 is about 387.9550954161.

The spelling of 58390794 in words is "fifty-eight million, three hundred ninety thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 31 33 42 54 62 63 66 77 81 93 99 126 151 154 162 186 189 198 217 231 279 297 302 341 378 434 453 462 558 567 594 651 682 693 837 891 906 1023 1057 1134 1302 1359 1386 1661 1674 1782 1953 2046 2079 2114 2387 2511 2718 3069 3171 3322 3906 4077 4158 4681 4774 4983 5022 5859 6138 6237 6342 7161 8154 9207 9362 9513 9966 11627 11718 12231 12474 14043 14322 14949 17577 18414 19026 21483 23254 24462 27621 28086 28539 29898 32767 34881 35154 42129 42966 44847 51491 55242 57078 64449 65534 69762 84258 85617 89694 98301 102982 104643 126387 128898 134541 154473 171234 193347 196602 209286 252774 269082 294903 308946 313929 360437 379161 386694 463419 589806 627858 720874 758322 884709 926838 941787 1081311 1390257 1769418 1883574 2162622 2654127 2780514 3243933 4170771 5308254 6487866 8341542 9731799 19463598 29195397 58390794