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58516056 = 23321934211
BaseRepresentation
bin1101111100111…
…0001001011000
311002002220221100
43133032021120
5104440003211
65450111400
71310243514
oct337161130
9132086840
1058516056
1130037a85
121771b560
13c17a6b1
147ab3144
15520d156
hex37ce258

58516056 has 48 divisors (see below), whose sum is σ = 159339960. Its totient is φ = 19399680.

The previous prime is 58516049. The next prime is 58516069. The reversal of 58516056 is 65061585.

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

It is a self number, because there is not a number n which added to its sum of digits gives 58516056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11791 + ... + 16001.

Almost surely, 258516056 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 58516056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79669980).

58516056 is an abundant number, since it is smaller than the sum of its proper divisors (100823904).

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

58516056 is a wasteful number, since it uses less digits than its factorization.

58516056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 58516056 is about 7649.5788119347. The cubic root of 58516056 is about 388.2323156148.

It can be divided in two parts, 585 and 16056, that added together give a square (16641 = 1292).

The spelling of 58516056 in words is "fifty-eight million, five hundred sixteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 772 1158 1544 1737 2316 3474 4211 4632 6948 8422 12633 13896 16844 25266 33688 37899 50532 75798 101064 151596 303192 812723 1625446 2438169 3250892 4876338 6501784 7314507 9752676 14629014 19505352 29258028 58516056