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58199706 = 23223257547
BaseRepresentation
bin1101111000000…
…0111010011010
311001111211222200
43132000322122
5104344342311
65435231030
71304455305
oct336007232
9131454880
1058199706
112a941334
12175a8476
13c0996c6
147a2db3c
155199556
hex3780e9a

58199706 has 48 divisors (see below), whose sum is σ = 132335424. Its totient is φ = 18450432.

The previous prime is 58199657. The next prime is 58199707. The reversal of 58199706 is 60799185.

58199706 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (58199707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106125 + ... + 106671.

It is an arithmetic number, because the mean of its divisors is an integer number (2756988).

Almost surely, 258199706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58199706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66167712).

58199706 is an abundant number, since it is smaller than the sum of its proper divisors (74135718).

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

58199706 is a wasteful number, since it uses less digits than its factorization.

58199706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 58199706 is about 7628.8731802279. The cubic root of 58199706 is about 387.5314294313.

The spelling of 58199706 in words is "fifty-eight million, one hundred ninety-nine thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 257 414 514 547 771 1094 1542 1641 2313 3282 4626 4923 5911 9846 11822 12581 17733 25162 35466 37743 53199 75486 106398 113229 140579 226458 281158 421737 843474 1265211 2530422 3233317 6466634 9699951 19399902 29099853 58199706