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58402890 = 23357132377
BaseRepresentation
bin1101111011001…
…0100001001010
311001220011201000
43132302201022
5104422343030
65443435430
71306262550
oct336624112
9131804630
1058402890
112aa6aa57
1217685b76
13c13b030
147a83bd0
1551d9860
hex37b284a

58402890 has 128 divisors (see below), whose sum is σ = 191761920. Its totient is φ = 12317184.

The previous prime is 58402889. The next prime is 58402907. The reversal of 58402890 is 9820485.

58402890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 23382 + ... + 25758.

It is an arithmetic number, because the mean of its divisors is an integer number (1498140).

Almost surely, 258402890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58402890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95880960).

58402890 is an abundant number, since it is smaller than the sum of its proper divisors (133359030).

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

58402890 is a wasteful number, since it uses less digits than its factorization.

58402890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2407 counting only the distinct ones).

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

The square root of 58402890 is about 7642.1783543699. The cubic root of 58402890 is about 387.9818826344.

The spelling of 58402890 in words is "fifty-eight million, four hundred two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1638 1755 1890 2377 2457 2730 3510 4095 4754 4914 7131 8190 11885 12285 14262 16639 21393 23770 24570 30901 33278 35655 42786 49917 61802 64179 71310 83195 92703 99834 106965 128358 149751 154505 166390 185406 213930 216307 249585 278109 299502 309010 320895 432614 449253 463515 499170 556218 641790 648921 748755 834327 898506 927030 1081535 1297842 1390545 1497510 1668654 1946763 2163070 2246265 2781090 3244605 3893526 4171635 4492530 5840289 6489210 8343270 9733815 11680578 19467630 29201445 58402890