Search a number
-
+
58228692 = 22319416229
BaseRepresentation
bin1101111000011…
…1111111010100
311001120022202020
43132013333110
5104401304232
65440013140
71304635644
oct336077724
9131508666
1058228692
112a961095
12176011b0
13c0a9962
147a3a524
1551a2e2c
hex3787fd4

58228692 has 48 divisors (see below), whose sum is σ = 146529600. Its totient is φ = 17936640.

The previous prime is 58228691. The next prime is 58228721. The reversal of 58228692 is 29682285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58228691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6234 + ... + 12462.

It is an arithmetic number, because the mean of its divisors is an integer number (3052700).

Almost surely, 258228692 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 58228692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73264800).

58228692 is an abundant number, since it is smaller than the sum of its proper divisors (88300908).

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

58228692 is a wasteful number, since it uses less digits than its factorization.

58228692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6296 (or 6294 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 58228692 is about 7630.7727000612. The cubic root of 58228692 is about 387.5957546228.

The spelling of 58228692 in words is "fifty-eight million, two hundred twenty-eight thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 19 38 41 57 76 82 114 123 164 228 246 492 779 1558 2337 3116 4674 6229 9348 12458 18687 24916 37374 74748 118351 236702 255389 355053 473404 510778 710106 766167 1021556 1420212 1532334 3064668 4852391 9704782 14557173 19409564 29114346 58228692