Search a number
-
+
490455648 = 253563073
BaseRepresentation
bin11101001110111…
…100001001100000
31021011212201200000
4131032330021200
52001024040043
6120400100000
715103542564
oct3516741140
91234781600
10490455648
11231938651
12118304600
137a7c2a57
14491cd6a4
152d0d02d3
hex1d3bc260

490455648 has 72 divisors (see below), whose sum is σ = 1446412968. Its totient is φ = 163482624.

The previous prime is 490455643. The next prime is 490455689. The reversal of 490455648 is 846554094.

490455648 is a `hidden beast` number, since 4 + 90 + 4 + 556 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490455643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23761 + ... + 39312.

It is an arithmetic number, because the mean of its divisors is an integer number (20089069).

Almost surely, 2490455648 is an apocalyptic number.

490455648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

490455648 is an abundant number, since it is smaller than the sum of its proper divisors (955957320).

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

490455648 is an equidigital number, since it uses as much as digits as its factorization.

490455648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63098 (or 63078 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 490455648 is about 22146.2332688880. The cubic root of 490455648 is about 788.6178085062.

The spelling of 490455648 in words is "four hundred ninety million, four hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 63073 126146 189219 252292 378438 504584 567657 756876 1009168 1135314 1513752 1702971 2018336 2270628 3027504 3405942 4541256 5108913 6055008 6811884 9082512 10217826 13623768 15326739 18165024 20435652 27247536 30653478 40871304 54495072 61306956 81742608 122613912 163485216 245227824 490455648