Search a number
-
+
490840000 = 265471753
BaseRepresentation
bin11101010000011…
…001111111000000
31021012121020220021
4131100121333000
52001123340000
6120412223224
715110033260
oct3520317700
91235536807
10490840000
112320803a2
1211846ab14
137a8c8991
144928d7a0
152d15911a
hex1d419fc0

490840000 has 140 divisors (see below), whose sum is σ = 1391791984. Its totient is φ = 168192000.

The previous prime is 490839989. The next prime is 490840001. The reversal of 490840000 is 48094.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490840001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279124 + ... + 280876.

Almost surely, 2490840000 is an apocalyptic number.

490840000 is a gapful number since it is divisible by the number (40) 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 490840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695895992).

490840000 is an abundant number, since it is smaller than the sum of its proper divisors (900951984).

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

490840000 is an equidigital number, since it uses as much as digits as its factorization.

490840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 490840000 is about 22154.9091625310. The cubic root of 490840000 is about 788.8237582795.

Adding to 490840000 its reverse (48094), we get a palindrome (490888094).

The spelling of 490840000 in words is "four hundred ninety million, eight hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 1753 2000 2240 2500 2800 3500 3506 4000 4375 5000 5600 7000 7012 8000 8750 8765 10000 11200 12271 14000 14024 17500 17530 20000 24542 28000 28048 35000 35060 40000 43825 49084 56000 56096 61355 70000 70120 87650 98168 112192 122710 140000 140240 175300 196336 219125 245420 280000 280480 306775 350600 392672 438250 490840 560960 613550 701200 785344 876500 981680 1095625 1227100 1402400 1533875 1753000 1963360 2191250 2454200 2804800 3067750 3506000 3926720 4382500 4908400 6135500 7012000 7669375 8765000 9816800 12271000 14024000 15338750 17530000 19633600 24542000 30677500 35060000 49084000 61355000 70120000 98168000 122710000 245420000 490840000