Search a number
-
+
58275288 = 233531967
BaseRepresentation
bin1101111001001…
…1010111011000
311001122200200000
43132103113120
5104404302123
65441013000
71305221541
oct336232730
9131580600
1058275288
112a9930a5
1217624160
13c0c4c26
147a4d4c8
1551b1b43
hex37935d8

58275288 has 96 divisors (see below), whose sum is σ = 169128960. Its totient is φ = 18779040.

The previous prime is 58275281. The next prime is 58275289. The reversal of 58275288 is 88257285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58275281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59781 + ... + 60747.

It is an arithmetic number, because the mean of its divisors is an integer number (1761760).

Almost surely, 258275288 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 58275288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84564480).

58275288 is an abundant number, since it is smaller than the sum of its proper divisors (110853672).

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

58275288 is a wasteful number, since it uses less digits than its factorization.

58275288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1003 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 58275288 is about 7633.8252534362. The cubic root of 58275288 is about 387.6991148726.

The spelling of 58275288 in words is "fifty-eight million, two hundred seventy-five thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 243 248 279 324 372 486 558 648 744 837 967 972 1116 1674 1934 1944 2232 2511 2901 3348 3868 5022 5802 6696 7533 7736 8703 10044 11604 15066 17406 20088 23208 26109 29977 30132 34812 52218 59954 60264 69624 78327 89931 104436 119908 156654 179862 208872 234981 239816 269793 313308 359724 469962 539586 626616 719448 809379 939924 1079172 1618758 1879848 2158344 2428137 3237516 4856274 6475032 7284411 9712548 14568822 19425096 29137644 58275288