Search a number
-
+
460389790 = 257229179181
BaseRepresentation
bin11011011100001…
…111110110011110
31012002022020001201
4123130033312132
51420324433130
6113403430114
714260151200
oct3334176636
91162266051
10460389790
11216972733
1210a22533a
13744c6ac3
1445204770
152a641bca
hex1b70fd9e

460389790 has 96 divisors (see below), whose sum is σ = 1008352800. Its totient is φ = 150716160.

The previous prime is 460389749. The next prime is 460389793. The reversal of 460389790 is 97983064.

It is a self number, because there is not a number n which added to its sum of digits gives 460389790.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460389793) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2543500 + ... + 2543680.

It is an arithmetic number, because the mean of its divisors is an integer number (10503675).

Almost surely, 2460389790 is an apocalyptic number.

460389790 is an abundant number, since it is smaller than the sum of its proper divisors (547963010).

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

460389790 is a wasteful number, since it uses less digits than its factorization.

460389790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 460389790 is about 21456.6956915551. The cubic root of 460389790 is about 772.1622420696.

The spelling of 460389790 in words is "four hundred sixty million, three hundred eighty-nine thousand, seven hundred ninety".

Divisors: 1 2 5 7 10 14 29 35 49 58 70 98 145 179 181 203 245 290 358 362 406 490 895 905 1015 1253 1267 1421 1790 1810 2030 2506 2534 2842 5191 5249 6265 6335 7105 8771 8869 10382 10498 12530 12670 14210 17542 17738 25955 26245 32399 36337 36743 43855 44345 51910 52490 64798 72674 73486 87710 88690 161995 181685 183715 226793 254359 257201 323990 363370 367430 453586 508718 514402 939571 1133965 1271795 1286005 1587551 1879142 2267930 2543590 2572010 3175102 4697855 6576997 7937755 9395710 13153994 15875510 32884985 46038979 65769970 92077958 230194895 460389790