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58709430 = 232513192139
BaseRepresentation
bin1101111111110…
…1010110110110
311002110202012100
43133331112312
5110012200210
65454202530
71312010343
oct337752666
9132422170
1058709430
113015a29a
12177b3446
13c217710
147b237ca
15524a5c0
hex37fd5b6

58709430 has 144 divisors (see below), whose sum is σ = 174741840. Its totient is φ = 13592448.

The previous prime is 58709429. The next prime is 58709459. The reversal of 58709430 is 3490785.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 422301 + ... + 422439.

It is an arithmetic number, because the mean of its divisors is an integer number (1213485).

Almost surely, 258709430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58709430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87370920).

58709430 is an abundant number, since it is smaller than the sum of its proper divisors (116032410).

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

58709430 is a wasteful number, since it uses less digits than its factorization.

58709430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 58709430 is about 7662.2079063414. The cubic root of 58709430 is about 388.6595003061.

The spelling of 58709430 in words is "fifty-eight million, seven hundred nine thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 139 171 190 195 234 247 278 285 342 361 390 417 494 570 585 695 722 741 834 855 1083 1170 1235 1251 1390 1482 1710 1805 1807 2085 2166 2223 2470 2502 2641 3249 3610 3614 3705 4170 4446 4693 5282 5415 5421 6255 6498 7410 7923 9035 9386 10830 10842 11115 12510 13205 14079 15846 16245 16263 18070 22230 23465 23769 26410 27105 28158 32490 32526 34333 39615 42237 46930 47538 50179 54210 68666 70395 79230 81315 84474 100358 102999 118845 140790 150537 162630 171665 205998 211185 237690 250895 301074 308997 343330 422370 451611 501790 514995 617994 652327 752685 903222 1029990 1304654 1505370 1544985 1956981 2258055 3089970 3261635 3913962 4516110 5870943 6523270 9784905 11741886 19569810 29354715 58709430