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58228092 = 22331367619
BaseRepresentation
bin1101111000011…
…1110101111100
311001120021221000
43132013311330
5104401244332
65440010300
71304634126
oct336076574
9131507830
1058228092
112a96069a
1217600990
13c0a95c0
147a3a216
1551a2b7c
hex3787d7c

58228092 has 96 divisors (see below), whose sum is σ = 165267200. Its totient is φ = 17620416.

The previous prime is 58228091. The next prime is 58228097. The reversal of 58228092 is 29082285.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58228091) 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 31 ways as a sum of consecutive naturals, for example, 93759 + ... + 94377.

Almost surely, 258228092 is an apocalyptic number.

58228092 is a gapful number since it is divisible by the number (52) 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 58228092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82633600).

58228092 is an abundant number, since it is smaller than the sum of its proper divisors (107039108).

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

58228092 is a wasteful number, since it uses less digits than its factorization.

58228092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 58228092 is about 7630.7333854617. The cubic root of 58228092 is about 387.5944233303.

It can be divided in two parts, 58 and 228092, that added together give a triangular number (228150 = T675).

The spelling of 58228092 in words is "fifty-eight million, two hundred twenty-eight thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 67 78 108 117 134 156 201 234 268 351 402 468 603 619 702 804 871 1206 1238 1404 1742 1809 1857 2412 2476 2613 3484 3618 3714 5226 5571 7236 7428 7839 8047 10452 11142 15678 16094 16713 22284 23517 24141 31356 32188 33426 41473 47034 48282 66852 72423 82946 94068 96564 124419 144846 165892 217269 248838 289692 373257 434538 497676 539149 746514 869076 1078298 1119771 1493028 1617447 2156596 2239542 3234894 4479084 4852341 6469788 9704682 14557023 19409364 29114046 58228092