Search a number
-
+
58484848 = 2431611933
BaseRepresentation
bin1101111100011…
…0100001110000
311002001100010111
43133012201300
5104433003343
65445311104
71310053522
oct337064160
9132040114
1058484848
1130016594
1217705494
13c169426
147aa5a12
155203c9d
hex37c6870

58484848 has 40 divisors (see below), whose sum is σ = 118948736. Its totient is φ = 27820800.

The previous prime is 58484821. The next prime is 58484857. The reversal of 58484848 is 84848485.

It is a happy number.

58484848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 29290 + ... + 31222.

Almost surely, 258484848 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 58484848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59474368).

58484848 is an abundant number, since it is smaller than the sum of its proper divisors (60463888).

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

58484848 is a wasteful number, since it uses less digits than its factorization.

58484848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2027 counting only the distinct ones).

The product of its digits is 1310720, while the sum is 49.

The square root of 58484848 is about 7647.5386890162. The cubic root of 58484848 is about 388.1632855088.

The spelling of 58484848 in words is "fifty-eight million, four hundred eighty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 31 61 62 122 124 244 248 488 496 976 1891 1933 3782 3866 7564 7732 15128 15464 30256 30928 59923 117913 119846 235826 239692 471652 479384 943304 958768 1886608 3655303 7310606 14621212 29242424 58484848