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58328732 = 227113141149
BaseRepresentation
bin1101111010000…
…0011010011100
311001202101222102
43132200122130
5104413004412
65442104232
71305533420
oct336403234
9131671872
1058328732
112aa1a270
121764b078
13c113357
147a64b80
1551c28c2
hex37a069c

58328732 has 96 divisors (see below), whose sum is σ = 135475200. Its totient is φ = 21312000.

The previous prime is 58328729. The next prime is 58328737. The reversal of 58328732 is 23782385.

58328732 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 not an unprimeable number, because it can be changed into a prime (58328737) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 391394 + ... + 391542.

It is an arithmetic number, because the mean of its divisors is an integer number (1411200).

Almost surely, 258328732 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 58328732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67737600).

58328732 is an abundant number, since it is smaller than the sum of its proper divisors (77146468).

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

58328732 is a wasteful number, since it uses less digits than its factorization.

58328732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 241 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 58328732 is about 7637.3249243436. The cubic root of 58328732 is about 387.8175976881.

The spelling of 58328732 in words is "fifty-eight million, three hundred twenty-eight thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 31 41 44 62 77 82 124 149 154 164 217 287 298 308 341 434 451 574 596 682 868 902 1043 1148 1271 1364 1639 1804 2086 2387 2542 3157 3278 4172 4619 4774 5084 6109 6314 6556 8897 9238 9548 11473 12218 12628 13981 17794 18476 22946 24436 27962 32333 35588 42763 45892 50809 55924 64666 67199 85526 97867 101618 129332 134398 171052 189379 195734 203236 268796 355663 378758 391468 470393 711326 757516 940786 1325653 1422652 1881572 2083169 2651306 4166338 5302612 8332676 14582183 29164366 58328732