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58027104 = 253461367
BaseRepresentation
bin1101110101011…
…0110001100000
311001012002020000
43131112301200
5104323331404
65431420000
71303136142
oct335266140
9131162200
1058027104
112a833693
1217524600
13c038c85
1479c6c92
155163339
hex3756c60

58027104 has 120 divisors (see below), whose sum is σ = 173926368. Its totient is φ = 18973440.

The previous prime is 58027097. The next prime is 58027117. The reversal of 58027104 is 40172085.

58027104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 157929 + ... + 158295.

Almost surely, 258027104 is an apocalyptic number.

58027104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58027104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86963184).

58027104 is an abundant number, since it is smaller than the sum of its proper divisors (115899264).

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

58027104 is a wasteful number, since it uses less digits than its factorization.

58027104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 58027104 is about 7617.5523628000. The cubic root of 58027104 is about 387.1479513627.

Adding to 58027104 its reverse (40172085), we get a palindrome (98199189).

The spelling of 58027104 in words is "fifty-eight million, twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 81 96 108 122 144 162 183 216 244 288 324 366 367 432 488 549 648 732 734 864 976 1098 1101 1296 1464 1468 1647 1952 2196 2202 2592 2928 2936 3294 3303 4392 4404 4941 5856 5872 6588 6606 8784 8808 9882 9909 11744 13176 13212 17568 17616 19764 19818 22387 26352 26424 29727 35232 39528 39636 44774 52704 52848 59454 67161 79056 79272 89548 105696 118908 134322 158112 158544 179096 201483 237816 268644 317088 358192 402966 475632 537288 604449 716384 805932 951264 1074576 1208898 1611864 1813347 2149152 2417796 3223728 3626694 4835592 6447456 7253388 9671184 14506776 19342368 29013552 58027104