Search a number
-
+
58948420 = 2254217001
BaseRepresentation
bin1110000011011…
…1101101000100
311002220220000211
43200313231010
5110042322140
65503245204
71314024166
oct340675504
9132826024
1058948420
1130302903
12178a9804
13c29c42b
147b86936
1552962ea
hex3837b44

58948420 has 24 divisors (see below), whose sum is σ = 124103448. Its totient is φ = 23520000.

The previous prime is 58948411. The next prime is 58948427. The reversal of 58948420 is 2484985.

58948420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 334084 + 58614336 = 578^2 + 7656^2 .

It is not an unprimeable number, because it can be changed into a prime (58948427) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4920 + ... + 11920.

It is an arithmetic number, because the mean of its divisors is an integer number (5170977).

Almost surely, 258948420 is an apocalyptic number.

It is an amenable number.

58948420 is an abundant number, since it is smaller than the sum of its proper divisors (65155028).

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

58948420 is a wasteful number, since it uses less digits than its factorization.

58948420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7431 (or 7429 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 58948420 is about 7677.7874417048. The cubic root of 58948420 is about 389.1861617572.

The spelling of 58948420 in words is "fifty-eight million, nine hundred forty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 421 842 1684 2105 4210 7001 8420 14002 28004 35005 70010 140020 2947421 5894842 11789684 14737105 29474210 58948420