Search a number
-
+
58178048 = 29199571
BaseRepresentation
bin1101110111101…
…1101000000000
311001110202021112
43131323220000
5104343144143
65434542452
71304335205
oct335735000
9131422245
1058178048
112a927035
1217597a28
13c08c8a6
147a25cac
155192e18
hex377ba00

58178048 has 40 divisors (see below), whose sum is σ = 117031200. Its totient is φ = 28892160.

The previous prime is 58177993. The next prime is 58178051. The reversal of 58178048 is 84087185.

58178048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 58177996 and 58178014.

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 3 ways as a sum of consecutive naturals, for example, 101603 + ... + 102173.

It is an arithmetic number, because the mean of its divisors is an integer number (2925780).

Almost surely, 258178048 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 58178048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58515600).

58178048 is an abundant number, since it is smaller than the sum of its proper divisors (58853152).

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

58178048 is an equidigital number, since it uses as much as digits as its factorization.

58178048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 41.

The square root of 58178048 is about 7627.4535724578. The cubic root of 58178048 is about 387.4833524586.

The spelling of 58178048 in words is "fifty-eight million, one hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 128 199 256 398 512 571 796 1142 1592 2284 3184 4568 6368 9136 12736 18272 25472 36544 50944 73088 101888 113629 146176 227258 292352 454516 909032 1818064 3636128 7272256 14544512 29089024 58178048