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58147328 = 293372
BaseRepresentation
bin1101110111010…
…0001000000000
311001102012010202
43131310020000
5104341203303
65434144332
71304146511
oct335641000
9131365122
1058147328
112a905a48
12175820a8
13c07b905
147a18a08
155188c88
hex3774200

58147328 has 30 divisors (see below), whose sum is σ = 116526861. Its totient is φ = 28987392.

The previous prime is 58147279. The next prime is 58147337. The reversal of 58147328 is 82374185.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 54878464 + 3268864 = 7408^2 + 1808^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5392.

It is a super-2 number, since 2×581473282 = 6762223507079168, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 58147291 and 58147300.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 172376 + ... + 172712.

Almost surely, 258147328 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 58147328

58147328 is an abundant number, since it is smaller than the sum of its proper divisors (58379533).

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

58147328 is an frugal number, since it uses more digits than its factorization.

58147328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 339 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 58147328 is about 7625.4395283157. The cubic root of 58147328 is about 387.4151389613.

The spelling of 58147328 in words is "fifty-eight million, one hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 337 512 674 1348 2696 5392 10784 21568 43136 86272 113569 172544 227138 454276 908552 1817104 3634208 7268416 14536832 29073664 58147328