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58028958 = 23213534679
BaseRepresentation
bin1101110101011…
…1001110011110
311001012011202200
43131113032132
5104323411313
65431432330
71303144431
oct335271636
9131164680
1058028958
112a835019
12175256a6
13c039a80
1479c7818
155163b73
hex375739e

58028958 has 48 divisors (see below), whose sum is σ = 137985120. Its totient is φ = 17514432.

The previous prime is 58028947. The next prime is 58028963. The reversal of 58028958 is 85982085.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10063 + ... + 14741.

It is an arithmetic number, because the mean of its divisors is an integer number (2874690).

Almost surely, 258028958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58028958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68992560).

58028958 is an abundant number, since it is smaller than the sum of its proper divisors (79956162).

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

58028958 is a wasteful number, since it uses less digits than its factorization.

58028958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4753 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 58028958 is about 7617.6740544605. The cubic root of 58028958 is about 387.1520745202.

The spelling of 58028958 in words is "fifty-eight million, twenty-eight thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 477 689 954 1378 2067 4134 4679 6201 9358 12402 14037 28074 42111 60827 84222 121654 182481 247987 364962 495974 547443 743961 1094886 1487922 2231883 3223831 4463766 6447662 9671493 19342986 29014479 58028958