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58412304 = 2432405641
BaseRepresentation
bin1101111011010…
…0110100010000
311001220122121200
43132310310100
5104423143204
65443551200
71306332156
oct336646420
9131818550
1058412304
112aa77035
121768b500
13c1423c2
147a873d6
1551dc539
hex37b4d10

58412304 has 30 divisors (see below), whose sum is σ = 163473726. Its totient is φ = 19470720.

The previous prime is 58412297. The next prime is 58412309. The reversal of 58412304 is 40321485.

58412304 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 only one way, i.e., 56972304 + 1440000 = 7548^2 + 1200^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58412309) 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 5 ways as a sum of consecutive naturals, for example, 202677 + ... + 202964.

Almost surely, 258412304 is an apocalyptic number.

It is an amenable number.

58412304 is an abundant number, since it is smaller than the sum of its proper divisors (105061422).

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

58412304 is a wasteful number, since it uses less digits than its factorization.

58412304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405655 (or 405646 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 58412304 is about 7642.7942534128. The cubic root of 58412304 is about 388.0027278655.

Adding to 58412304 its reverse (40321485), we get a palindrome (98733789).

The spelling of 58412304 in words is "fifty-eight million, four hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 405641 811282 1216923 1622564 2433846 3245128 3650769 4867692 6490256 7301538 9735384 14603076 19470768 29206152 58412304