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58230592 = 267196841
BaseRepresentation
bin1101111000100…
…0011101000000
311001120102100121
43132020131000
5104401334332
65440030024
71304644330
oct336103500
9131512317
1058230592
112a962562
1217602314
13c0aa794
147a3b0c0
1551a3797
hex3788740

58230592 has 56 divisors (see below), whose sum is σ = 139029440. Its totient is φ = 23639040.

The previous prime is 58230569. The next prime is 58230629. The reversal of 58230592 is 29503285.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5092 + ... + 11932.

Almost surely, 258230592 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 58230592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69514720).

58230592 is an abundant number, since it is smaller than the sum of its proper divisors (80798848).

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

58230592 is a wasteful number, since it uses less digits than its factorization.

58230592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6879 (or 6869 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 58230592 is about 7630.8971949568. The cubic root of 58230592 is about 387.5999703218.

The spelling of 58230592 in words is "fifty-eight million, two hundred thirty thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 6841 8512 13682 27364 47887 54728 95774 109456 129979 191548 218912 259958 383096 437824 519916 766192 909853 1039832 1532384 1819706 2079664 3064768 3639412 4159328 7278824 8318656 14557648 29115296 58230592