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64490000 = 24546449
BaseRepresentation
bin1111011000000…
…0101000010000
311111100102122112
43312000220100
5113002140000
610222124452
71412104331
oct366005020
9144312575
1064490000
1133448323
1219720728
131048c883
1487ca288
1559dd235
hex3d80a10

64490000 has 50 divisors (see below), whose sum is σ = 156160950. Its totient is φ = 25792000.

The previous prime is 64489963. The next prime is 64490003. The reversal of 64490000 is 9446.

It can be written as a sum of positive squares in 5 ways, for example, as 8479744 + 56010256 = 2912^2 + 7484^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (64490003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6776 + ... + 13224.

It is an arithmetic number, because the mean of its divisors is an integer number (3123219).

Almost surely, 264490000 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 64490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78080475).

64490000 is an abundant number, since it is smaller than the sum of its proper divisors (91670950).

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

64490000 is an equidigital number, since it uses as much as digits as its factorization.

64490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6477 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 64490000 is about 8030.5666051655. The cubic root of 64490000 is about 401.0182391067.

Adding to 64490000 its reverse (9446), we get a palindrome (64499446).

It can be divided in two parts, 64 and 490000, that multiplied together give a square (31360000 = 56002).

The spelling of 64490000 in words is "sixty-four million, four hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 6449 10000 12898 25796 32245 51592 64490 103184 128980 161225 257960 322450 515920 644900 806125 1289800 1612250 2579600 3224500 4030625 6449000 8061250 12898000 16122500 32245000 64490000