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58321328 = 24131991409
BaseRepresentation
bin1101111001111…
…0100110110000
311001202000211012
43132132212300
5104412240303
65442010052
71305503012
oct336364660
9131660735
1058321328
112aa1474a
1217646928
13c10cb80
147a621b2
1551c05d8
hex379e9b0

58321328 has 40 divisors (see below), whose sum is σ = 122388000. Its totient is φ = 26763264.

The previous prime is 58321327. The next prime is 58321363. The reversal of 58321328 is 82312385.

It is a junction number, because it is equal to n+sod(n) for n = 58321294 and 58321303.

It is not an unprimeable number, because it can be changed into a prime (58321327) 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, 40688 + ... + 42096.

It is an arithmetic number, because the mean of its divisors is an integer number (3059700).

Almost surely, 258321328 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 58321328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61194000).

58321328 is an abundant number, since it is smaller than the sum of its proper divisors (64066672).

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

58321328 is a wasteful number, since it uses less digits than its factorization.

58321328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1623 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 58321328 is about 7636.8401842647. The cubic root of 58321328 is about 387.8011876909.

The spelling of 58321328 in words is "fifty-eight million, three hundred twenty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 199 208 398 796 1409 1592 2587 2818 3184 5174 5636 10348 11272 18317 20696 22544 36634 41392 73268 146536 280391 293072 560782 1121564 2243128 3645083 4486256 7290166 14580332 29160664 58321328