Search a number
-
+
465361842 = 2311172411721
BaseRepresentation
bin11011101111001…
…101101110110010
31012102122211102210
4123233031232302
51423113034332
6114102152550
714350340031
oct3357155662
91172584383
10465361842
11219759270
1210ba22756
1375547c4a
1445b3a718
152acc4ecc
hex1bbcdbb2

465361842 has 64 divisors (see below), whose sum is σ = 1080148608. Its totient is φ = 132096000.

The previous prime is 465361817. The next prime is 465361877. The reversal of 465361842 is 248163564.

It is a self number, because there is not a number n which added to its sum of digits gives 465361842.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269542 + ... + 271262.

It is an arithmetic number, because the mean of its divisors is an integer number (16877322).

Almost surely, 2465361842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465361842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540074304).

465361842 is an abundant number, since it is smaller than the sum of its proper divisors (614786766).

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

465361842 is a wasteful number, since it uses less digits than its factorization.

465361842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995.

The product of its digits is 138240, while the sum is 39.

The square root of 465361842 is about 21572.2470317767. The cubic root of 465361842 is about 774.9319909798.

The spelling of 465361842 in words is "four hundred sixty-five million, three hundred sixty-one thousand, eight hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 241 374 482 561 723 1122 1446 1721 2651 3442 4097 5163 5302 7953 8194 10326 12291 15906 18931 24582 29257 37862 45067 56793 58514 87771 90134 113586 135201 175542 270402 321827 414761 643654 829522 965481 1244283 1930962 2488566 4562371 7050937 9124742 13687113 14101874 21152811 27374226 42305622 77560307 155120614 232680921 465361842