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58629339 = 353143181
BaseRepresentation
bin1101111110100…
…1110011011011
311002022200100000
43133221303123
5110002114324
65452344043
71311225006
oct337516333
9132280300
1058629339
11301050aa
1217775023
13c1ba122
147b0253d
1552319c9
hex37e9cdb

58629339 has 48 divisors (see below), whose sum is σ = 93277184. Its totient is φ = 36741600.

The previous prime is 58629301. The next prime is 58629341. The reversal of 58629339 is 93392685.

It is not a de Polignac number, because 58629339 - 27 = 58629211 is a prime.

It is a Duffinian number.

Its product of digits (349920) is a multiple of the sum of its prime factors (270).

It is a junction number, because it is equal to n+sod(n) for n = 58629294 and 58629303.

It is not an unprimeable number, because it can be changed into a prime (58629359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323829 + ... + 324009.

Almost surely, 258629339 is an apocalyptic number.

58629339 is a deficient number, since it is larger than the sum of its proper divisors (34647845).

58629339 is a wasteful number, since it uses less digits than its factorization.

58629339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 58629339 is about 7656.9797570583. The cubic root of 58629339 is about 388.4826843403.

The spelling of 58629339 in words is "fifty-eight million, six hundred twenty-nine thousand, three hundred thirty-nine".

Divisors: 1 3 9 27 31 43 81 93 129 181 243 279 387 543 837 1161 1333 1629 2511 3483 3999 4887 5611 7533 7783 10449 11997 14661 16833 23349 35991 43983 50499 70047 107973 151497 210141 241273 323919 454491 630423 723819 1363473 1891269 2171457 6514371 19543113 58629339