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58894304 = 257467563
BaseRepresentation
bin1110000010101…
…0011111100000
311002211010210112
43200222133200
5110034104204
65502150452
71313410340
oct340523740
9132733715
1058894304
1130276187
1217882428
13c280901
147b70d20
15528526e
hex382a7e0

58894304 has 48 divisors (see below), whose sum is σ = 133031808. Its totient is φ = 25141632.

The previous prime is 58894301. The next prime is 58894313. The reversal of 58894304 is 40349885.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58894301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104327 + ... + 104889.

It is an arithmetic number, because the mean of its divisors is an integer number (2771496).

Almost surely, 258894304 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 58894304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66515904).

58894304 is an abundant number, since it is smaller than the sum of its proper divisors (74137504).

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

58894304 is a wasteful number, since it uses less digits than its factorization.

58894304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 58894304 is about 7674.2624401306. The cubic root of 58894304 is about 389.0670313575.

The spelling of 58894304 in words is "fifty-eight million, eight hundred ninety-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 467 563 934 1126 1868 2252 3269 3736 3941 4504 6538 7472 7882 9008 13076 14944 15764 18016 26152 31528 52304 63056 104608 126112 262921 525842 1051684 1840447 2103368 3680894 4206736 7361788 8413472 14723576 29447152 58894304