Search a number
-
+
460198452 = 223737263563
BaseRepresentation
bin11011011011100…
…001001000110100
31012001221111121010
4123123201020310
51420302322302
6113355352220
714255423310
oct3333411064
91161844533
10460198452
112168519aa
1210a152670
137445a99c
1445194b40
152a60516c
hex1b6e1234

460198452 has 96 divisors (see below), whose sum is σ = 1267402752. Its totient is φ = 127218816.

The previous prime is 460198423. The next prime is 460198471. The reversal of 460198452 is 254891064.

It is a self number, because there is not a number n which added to its sum of digits gives 460198452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 817123 + ... + 817685.

It is an arithmetic number, because the mean of its divisors is an integer number (13202112).

Almost surely, 2460198452 is an apocalyptic number.

460198452 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460198452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633701376).

460198452 is an abundant number, since it is smaller than the sum of its proper divisors (807204300).

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

460198452 is a wasteful number, since it uses less digits than its factorization.

460198452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 460198452 is about 21452.2365267587. The cubic root of 460198452 is about 772.0552570361.

The spelling of 460198452 in words is "four hundred sixty million, one hundred ninety-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 263 444 518 526 563 777 789 1036 1052 1126 1554 1578 1689 1841 2252 3108 3156 3378 3682 3941 5523 6756 7364 7882 9731 11046 11823 15764 19462 20831 22092 23646 29193 38924 41662 47292 58386 62493 68117 83324 116772 124986 136234 145817 148069 204351 249972 272468 291634 296138 408702 437451 444207 583268 592276 817404 874902 888414 1036483 1749804 1776828 2072966 3109449 4145932 5478553 6218898 10957106 12437796 16435659 21914212 32871318 38349871 65742636 76699742 115049613 153399484 230099226 460198452