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58405953 = 331628021
BaseRepresentation
bin1101111011001…
…1010001000001
311001220022220110
43132303101001
5104422442303
65443501533
71306304514
oct336632101
9131808813
1058405953
112aa72291
12176878a9
13c13c548
147a84d7b
1551da703
hex37b3441

58405953 has 8 divisors (see below), whose sum is σ = 80386816. Its totient is φ = 37681200.

The previous prime is 58405939. The next prime is 58405961. The reversal of 58405953 is 35950485.

58405953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 58405953 - 26 = 58405889 is a prime.

It is a super-2 number, since 2×584059532 = 6822510691676418, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (58405933) 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, 313918 + ... + 314103.

It is an arithmetic number, because the mean of its divisors is an integer number (10048352).

Almost surely, 258405953 is an apocalyptic number.

It is an amenable number.

58405953 is a deficient number, since it is larger than the sum of its proper divisors (21980863).

58405953 is a wasteful number, since it uses less digits than its factorization.

58405953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628055.

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 58405953 is about 7642.3787527183. The cubic root of 58405953 is about 387.9886652196.

The spelling of 58405953 in words is "fifty-eight million, four hundred five thousand, nine hundred fifty-three".

Divisors: 1 3 31 93 628021 1884063 19468651 58405953