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58180096 = 29138741
BaseRepresentation
bin1101110111110…
…0001000000000
311001110212002101
43131330020000
5104343230341
65435000144
71304344162
oct335741000
9131425071
1058180096
112a928627
1217599054
13c0907c0
147a26932
155193831
hex377c200

58180096 has 40 divisors (see below), whose sum is σ = 125202924. Its totient is φ = 26849280.

The previous prime is 58180091. The next prime is 58180099. The reversal of 58180096 is 69008185.

It can be written as a sum of positive squares in 2 ways, for example, as 50694400 + 7485696 = 7120^2 + 2736^2 .

It is not an unprimeable number, because it can be changed into a prime (58180091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2286 + ... + 11026.

Almost surely, 258180096 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 58180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62601462).

58180096 is an abundant number, since it is smaller than the sum of its proper divisors (67022828).

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

58180096 is an equidigital number, since it uses as much as digits as its factorization.

58180096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8772 (or 8756 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 58180096 is about 7627.5878231588. The cubic root of 58180096 is about 387.4878991712.

The spelling of 58180096 in words is "fifty-eight million, one hundred eighty thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 3328 6656 8741 17482 34964 69928 113633 139856 227266 279712 454532 559424 909064 1118848 1818128 2237696 3636256 4475392 7272512 14545024 29090048 58180096