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58090284 = 2234723659
BaseRepresentation
bin1101110110011…
…0001100101100
311001022021220000
43131212030230
5104332342114
65433024300
71303521300
oct335461454
9131267800
1058090284
112a8770aa
1217555090
13c05b965
147a01d00
155176e09
hex376632c

58090284 has 90 divisors (see below), whose sum is σ = 176701140. Its totient is φ = 16592688.

The previous prime is 58090271. The next prime is 58090313. The reversal of 58090284 is 48209085.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14047 + ... + 17705.

It is an arithmetic number, because the mean of its divisors is an integer number (1963346).

Almost surely, 258090284 is an apocalyptic number.

58090284 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58090284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88350570).

58090284 is an abundant number, since it is smaller than the sum of its proper divisors (118610856).

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

58090284 is a wasteful number, since it uses less digits than its factorization.

58090284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 58090284 is about 7621.6982359577. The cubic root of 58090284 is about 387.2884094928.

The spelling of 58090284 in words is "fifty-eight million, ninety thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3659 3969 5292 7318 7938 10977 14636 15876 21954 25613 32931 43908 51226 65862 76839 98793 102452 131724 153678 179291 197586 230517 296379 307356 358582 395172 461034 537873 592758 691551 717164 922068 1075746 1185516 1383102 1613619 2074653 2151492 2766204 3227238 4149306 4840857 6454476 8298612 9681714 14522571 19363428 29045142 58090284