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398029086 = 233713107757
BaseRepresentation
bin10111101110010…
…111000100011110
31000201221222021000
4113232113010132
51303343412321
6103255051130
712602122440
oct2756270436
91021858230
10398029086
1119474a164
12b1370aa6
1364601490
143ac10490
1524e24826
hex17b9711e

398029086 has 128 divisors (see below), whose sum is σ = 1100252160. Its totient is φ = 103856256.

The previous prime is 398029067. The next prime is 398029103. The reversal of 398029086 is 680920893.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 525420 + ... + 526176.

It is an arithmetic number, because the mean of its divisors is an integer number (8595720).

Almost surely, 2398029086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398029086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550126080).

398029086 is an abundant number, since it is smaller than the sum of its proper divisors (702223074).

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

398029086 is a wasteful number, since it uses less digits than its factorization.

398029086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 398029086 is about 19950.6663046626. Note that the first 3 decimals coincide. The cubic root of 398029086 is about 735.5941551393.

The spelling of 398029086 in words is "three hundred ninety-eight million, twenty-nine thousand, eighty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 107 117 126 182 189 214 234 273 321 351 378 546 642 702 749 757 819 963 1391 1498 1514 1638 1926 2247 2271 2457 2782 2889 4173 4494 4542 4914 5299 5778 6741 6813 8346 9737 9841 10598 12519 13482 13626 15897 19474 19682 20223 20439 25038 29211 29523 31794 37557 40446 40878 47691 58422 59046 68887 75114 80999 87633 88569 95382 137774 143073 161998 175266 177138 206661 242997 262899 265707 286146 413322 485994 525798 531414 566993 619983 728991 1052987 1133986 1239966 1457982 1700979 1859949 2105974 2186973 3158961 3401958 3719898 4373946 5102937 6317922 7370909 9476883 10205874 14741818 15308811 18953766 22112727 28430649 30617622 44225454 56861298 66338181 132676362 199014543 398029086