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58493696 = 28297879
BaseRepresentation
bin1101111100100…
…0101100000000
311002001210021012
43133020230000
5104433244241
65445420052
71310121362
oct337105400
9132053235
1058493696
11300221a8
121770a628
13c170471
147aa8d32
1552066eb
hex37c8b00

58493696 has 36 divisors (see below), whose sum is σ = 120800400. Its totient is φ = 28234752.

The previous prime is 58493689. The next prime is 58493711. The reversal of 58493696 is 69639485.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3485 + ... + 11363.

Almost surely, 258493696 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 58493696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60400200).

58493696 is an abundant number, since it is smaller than the sum of its proper divisors (62306704).

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

58493696 is an equidigital number, since it uses as much as digits as its factorization.

58493696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7924 (or 7910 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 50.

The square root of 58493696 is about 7648.1171539144. The cubic root of 58493696 is about 388.1828592142.

The spelling of 58493696 in words is "fifty-eight million, four hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 7879 15758 31516 63032 126064 228491 252128 456982 504256 913964 1008512 1827928 2017024 3655856 7311712 14623424 29246848 58493696