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58082520 = 23351373533
BaseRepresentation
bin1101110110010…
…0010011011000
311001021220020110
43131210103120
5104332120040
65432524320
71303456536
oct335442330
9131256213
1058082520
112a871291
12175506a0
13c058272
1479dd156
155174980
hex37644d8

58082520 has 64 divisors (see below), whose sum is σ = 175569120. Its totient is φ = 15371264.

The previous prime is 58082513. The next prime is 58082537. The reversal of 58082520 is 2528085.

58082520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14674 + ... + 18206.

Almost surely, 258082520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58082520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87784560).

58082520 is an abundant number, since it is smaller than the sum of its proper divisors (117486600).

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

58082520 is a wasteful number, since it uses less digits than its factorization.

58082520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 58082520 is about 7621.1888836323. The cubic root of 58082520 is about 387.2711545064.

The spelling of 58082520 in words is "fifty-eight million, eighty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 3533 4110 5480 7066 8220 10599 14132 16440 17665 21198 28264 35330 42396 52995 70660 84792 105990 141320 211980 423960 484021 968042 1452063 1936084 2420105 2904126 3872168 4840210 5808252 7260315 9680420 11616504 14520630 19360840 29041260 58082520