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58474016 = 2517472287
BaseRepresentation
bin1101111100001…
…1111000100000
311002000210021022
43133003320200
5104432132031
65445145012
71310010116
oct337037040
9132023238
1058474016
1130009437
12176bb168
13c164513
147aa1ab6
15520097b
hex37c3e20

58474016 has 48 divisors (see below), whose sum is σ = 124540416. Its totient is φ = 26919936.

The previous prime is 58473977. The next prime is 58474021. The reversal of 58474016 is 61047485.

58474016 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, 24425 + ... + 26711.

It is an arithmetic number, because the mean of its divisors is an integer number (2594592).

Almost surely, 258474016 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 58474016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62270208).

58474016 is an abundant number, since it is smaller than the sum of its proper divisors (66066400).

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

58474016 is a wasteful number, since it uses less digits than its factorization.

58474016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 58474016 is about 7646.8304545086. The cubic root of 58474016 is about 388.1393200747.

The spelling of 58474016 in words is "fifty-eight million, four hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 47 68 94 136 188 272 376 544 752 799 1504 1598 2287 3196 4574 6392 9148 12784 18296 25568 36592 38879 73184 77758 107489 155516 214978 311032 429956 622064 859912 1244128 1719824 1827313 3439648 3654626 7309252 14618504 29237008 58474016