Search a number
-
+
490144060 = 225724431129
BaseRepresentation
bin11101001101110…
…000000100111100
31021011021220020201
4131031300010330
52000434102220
6120345253244
715101104300
oct3515600474
91234256221
10490144060
1123174553a
12118194224
137a713c93
144914bd00
152d06cd0a
hex1d37013c

490144060 has 72 divisors (see below), whose sum is σ = 1201117680. Its totient is φ = 167521536.

The previous prime is 490144033. The next prime is 490144073. The reversal of 490144060 is 60441094.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 433576 + ... + 434704.

It is an arithmetic number, because the mean of its divisors is an integer number (16682190).

Almost surely, 2490144060 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 490144060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600558840).

490144060 is an abundant number, since it is smaller than the sum of its proper divisors (710973620).

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

490144060 is a wasteful number, since it uses less digits than its factorization.

490144060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 490144060 is about 22139.1973657583. The cubic root of 490144060 is about 788.4507693448.

The spelling of 490144060 in words is "four hundred ninety million, one hundred forty-four thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 443 490 886 980 1129 1772 2215 2258 3101 4430 4516 5645 6202 7903 8860 11290 12404 15505 15806 21707 22580 31010 31612 39515 43414 55321 62020 79030 86828 108535 110642 158060 217070 221284 276605 434140 500147 553210 1000294 1106420 2000588 2500735 3501029 5001470 7002058 10002940 14004116 17505145 24507203 35010290 49014406 70020580 98028812 122536015 245072030 490144060