Search a number
-
+
42398664 = 23371122943
BaseRepresentation
bin1010000110111…
…1001111001000
32221210002000220
42201233033020
541323224124
64112430040
71023245160
oct241571710
987702026
1042398664
1121a29820
1212248320
138a26589
1458b95a0
153ac7879
hex286f3c8

42398664 has 64 divisors (see below), whose sum is σ = 132157440. Its totient is φ = 11012160.

The previous prime is 42398659. The next prime is 42398687. The reversal of 42398664 is 46689324.

It is a happy number.

42398664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 9624 + ... + 13319.

It is an arithmetic number, because the mean of its divisors is an integer number (2064960).

Almost surely, 242398664 is an apocalyptic number.

42398664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42398664 is an abundant number, since it is smaller than the sum of its proper divisors (89758776).

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

42398664 is a wasteful number, since it uses less digits than its factorization.

42398664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22970 (or 22966 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 42398664 is about 6511.4256503472. The cubic root of 42398664 is about 348.6990177399.

The spelling of 42398664 in words is "forty-two million, three hundred ninety-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 22943 45886 68829 91772 137658 160601 183544 252373 275316 321202 481803 504746 550632 642404 757119 963606 1009492 1284808 1514238 1766611 1927212 2018984 3028476 3533222 3854424 5299833 6056952 7066444 10599666 14132888 21199332 42398664