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58328298 = 232731109137
BaseRepresentation
bin1101111010000…
…0010011101010
311001202101101100
43132200103222
5104413001143
65442102230
71305532230
oct336402352
9131671340
1058328298
112aa19a06
121764a976
13c1130b2
147a64950
1551c26d3
hex37a04ea

58328298 has 96 divisors (see below), whose sum is σ = 151557120. Its totient is φ = 15863040.

The previous prime is 58328279. The next prime is 58328311. The reversal of 58328298 is 89282385.

58328298 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 47 ways as a sum of consecutive naturals, for example, 425686 + ... + 425822.

It is an arithmetic number, because the mean of its divisors is an integer number (1578720).

Almost surely, 258328298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58328298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75778560).

58328298 is an abundant number, since it is smaller than the sum of its proper divisors (93228822).

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

58328298 is a wasteful number, since it uses less digits than its factorization.

58328298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 289 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 58328298 is about 7637.2965112008. The cubic root of 58328298 is about 387.8166358222.

The spelling of 58328298 in words is "fifty-eight million, three hundred twenty-eight thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 109 126 137 186 217 218 274 279 327 411 434 558 651 654 763 822 959 981 1233 1302 1526 1918 1953 1962 2289 2466 2877 3379 3906 4247 4578 5754 6758 6867 8494 8631 10137 12741 13734 14933 17262 20274 23653 25482 29729 29866 30411 38223 44799 47306 59458 60822 70959 76446 89187 89598 104531 134397 141918 178374 209062 212877 267561 268794 313593 425754 462923 535122 627186 925846 940779 1388769 1881558 2777538 3240461 4166307 6480922 8332614 9721383 19442766 29164149 58328298