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58254944 = 2511167991
BaseRepresentation
bin1101111000111…
…0011001100000
311001121122202112
43132032121200
5104403124234
65440334452
71305105326
oct336163140
9131548675
1058254944
112a979890
1217614428
13c0b88a7
147a45d16
1551aaace
hex378e660

58254944 has 48 divisors (see below), whose sum is σ = 125991936. Its totient is φ = 26294400.

The previous prime is 58254923. The next prime is 58254947. The reversal of 58254944 is 44945285.

58254944 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 not an unprimeable number, because it can be changed into a prime (58254947) 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, 58289 + ... + 59279.

It is an arithmetic number, because the mean of its divisors is an integer number (2624832).

Almost surely, 258254944 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 58254944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62995968).

58254944 is an abundant number, since it is smaller than the sum of its proper divisors (67736992).

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

58254944 is a wasteful number, since it uses less digits than its factorization.

58254944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1171 counting only the distinct ones).

The product of its digits is 230400, while the sum is 41.

The square root of 58254944 is about 7632.4926465736. The cubic root of 58254944 is about 387.6539941530.

The spelling of 58254944 in words is "fifty-eight million, two hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 167 176 334 352 668 991 1336 1837 1982 2672 3674 3964 5344 7348 7928 10901 14696 15856 21802 29392 31712 43604 58784 87208 165497 174416 330994 348832 661988 1323976 1820467 2647952 3640934 5295904 7281868 14563736 29127472 58254944