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58284330 = 235131759149
BaseRepresentation
bin1101111001010…
…1100100101010
311001200011001220
43132111210222
5104410044310
65441122510
71305260106
oct336254452
9131604056
1058284330
112a999975
1217629436
13c0c9090
147a52906
1551b4670
hex379592a

58284330 has 128 divisors (see below), whose sum is σ = 163296000. Its totient is φ = 13185024.

The previous prime is 58284311. The next prime is 58284349. The reversal of 58284330 is 3348285.

It is an interprime number because it is at equal distance from previous prime (58284311) and next prime (58284349).

It is a junction number, because it is equal to n+sod(n) for n = 58284291 and 58284300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 391096 + ... + 391244.

It is an arithmetic number, because the mean of its divisors is an integer number (1275750).

Almost surely, 258284330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58284330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648000).

58284330 is an abundant number, since it is smaller than the sum of its proper divisors (105011670).

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

58284330 is a wasteful number, since it uses less digits than its factorization.

58284330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248.

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 58284330 is about 7634.4174630420. The cubic root of 58284330 is about 387.7191656479.

The spelling of 58284330 in words is "fifty-eight million, two hundred eighty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 59 65 78 85 102 118 130 149 170 177 195 221 255 295 298 354 390 442 447 510 590 663 745 767 885 894 1003 1105 1326 1490 1534 1770 1937 2006 2210 2235 2301 2533 3009 3315 3835 3874 4470 4602 5015 5066 5811 6018 6630 7599 7670 8791 9685 10030 11505 11622 12665 13039 15045 15198 17582 19370 23010 25330 26078 26373 29055 30090 32929 37995 39117 43955 52746 58110 65195 65858 75990 78234 87910 98787 114283 130390 131865 149447 164645 195585 197574 228566 263730 298894 329290 342849 391170 448341 493935 571415 685698 747235 896682 987870 1142830 1494470 1714245 1942811 2241705 3428490 3885622 4483410 5828433 9714055 11656866 19428110 29142165 58284330