Search a number
-
+
460490492 = 2271117312837
BaseRepresentation
bin11011011100101…
…000011011111100
31012002111100012102
4123130220123330
51420341143432
6113405524232
714261050610
oct3334503374
91162440172
10460490492
11216a31360
1210a273678
13745308a7
144522d340
152a661962
hex1b7286fc

460490492 has 96 divisors (see below), whose sum is σ = 1098510336. Its totient is φ = 163353600.

The previous prime is 460490491. The next prime is 460490519. The reversal of 460490492 is 294094064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460490491) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 160898 + ... + 163734.

It is an arithmetic number, because the mean of its divisors is an integer number (11442816).

Almost surely, 2460490492 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460490492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549255168).

460490492 is an abundant number, since it is smaller than the sum of its proper divisors (638019844).

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

460490492 is a wasteful number, since it uses less digits than its factorization.

460490492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 460490492 is about 21459.0421967058. The cubic root of 460490492 is about 772.2185368406.

The spelling of 460490492 in words is "four hundred sixty million, four hundred ninety thousand, four hundred ninety-two".

Divisors: 1 2 4 7 11 14 17 22 28 31 34 44 62 68 77 119 124 154 187 217 238 308 341 374 434 476 527 682 748 868 1054 1309 1364 2108 2387 2618 2837 3689 4774 5236 5674 5797 7378 9548 11348 11594 14756 19859 23188 31207 39718 40579 48229 62414 79436 81158 87947 96458 124828 162316 175894 192916 218449 337603 351788 436898 530519 615629 675206 873796 967417 1061038 1231258 1350412 1495099 1934834 2122076 2462516 2990198 3713633 3869668 5980396 6771919 7427266 10465693 13543838 14854532 16446089 20931386 27087676 32892178 41862772 65784356 115122623 230245246 460490492