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664498080 = 25395211
BaseRepresentation
bin100111100110110…
…110111110100000
31201022101000000000
4213212312332200
52330102414310
6145534300000
722316066121
oct4746667640
91638330000
10664498080
11311101274
12166657600
13a788c03c
1464376048
153d50d4c0
hex279b6fa0

664498080 has 240 divisors, whose sum is σ = 2365935264. Its totient is φ = 176359680.

The previous prime is 664498073. The next prime is 664498097. The reversal of 664498080 is 80894466.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3149175 + ... + 3149385.

Almost surely, 2664498080 is an apocalyptic number.

664498080 is a gapful number since it is divisible by the number (60) 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 664498080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182967632).

664498080 is an abundant number, since it is smaller than the sum of its proper divisors (1701437184).

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

664498080 is an frugal number, since it uses more digits than its factorization.

664498080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 664498080 is about 25777.8602680672. The cubic root of 664498080 is about 872.6322183406.

It can be divided in two parts, 66449 and 8080, that added together give a square (74529 = 2732).

The spelling of 664498080 in words is "six hundred sixty-four million, four hundred ninety-eight thousand, eighty".