Search a number
-
+
489515040 = 25325748563
BaseRepresentation
bin11101001011010…
…110100000100000
31021010002221101200
4131023112200200
52000303440130
6120324001200
715062544360
oct3513264040
91233087350
10489515040
11231355993
12117b30200
137a553891
14490269a0
152ce96760
hex1d2d6820

489515040 has 144 divisors (see below), whose sum is σ = 1909147968. Its totient is φ = 111886848.

The previous prime is 489515021. The next prime is 489515071. The reversal of 489515040 is 40515984.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 489514986 and 489515004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14202 + ... + 34361.

It is an arithmetic number, because the mean of its divisors is an integer number (13257972).

Almost surely, 2489515040 is an apocalyptic number.

489515040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

489515040 is an abundant number, since it is smaller than the sum of its proper divisors (1419632928).

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

489515040 is a wasteful number, since it uses less digits than its factorization.

489515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48591 (or 48580 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 489515040 is about 22124.9867796571. The cubic root of 489515040 is about 788.1133422818.

The spelling of 489515040 in words is "four hundred eighty-nine million, five hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 48563 97126 145689 194252 242815 291378 339941 388504 437067 485630 582756 679882 728445 777008 874134 971260 1019823 1165512 1359764 1456890 1554016 1699705 1748268 1942520 2039646 2185335 2331024 2719528 2913780 3059469 3399410 3496536 3885040 4079292 4370670 4662048 5099115 5439056 5827560 6118938 6798820 6993072 7770080 8158584 8741340 10198230 10878112 11655120 12237876 13597640 13986144 15297345 16317168 17482680 20396460 23310240 24475752 27195280 30594690 32634336 34965360 40792920 48951504 54390560 61189380 69930720 81585840 97903008 122378760 163171680 244757520 489515040