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664664040 = 233251846289
BaseRepresentation
bin100111100111011…
…111011111101000
31201022200102122200
4213213133133220
52330123222130
6145542020200
722320360015
oct4747373750
91638612580
10664664040
11311204a27
12166717660
13a7919741
14643ba70c
153d542760
hex279df7e8

664664040 has 48 divisors (see below), whose sum is σ = 2160159300. Its totient is φ = 177243648.

The previous prime is 664664017. The next prime is 664664057. The reversal of 664664040 is 40466466.

It is a happy number.

664664040 is a `hidden beast` number, since 6 + 6 + 4 + 6 + 640 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 566535204 + 98128836 = 23802^2 + 9906^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 664663986 and 664664004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 922785 + ... + 923504.

Almost surely, 2664664040 is an apocalyptic number.

664664040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

664664040 is an abundant number, since it is smaller than the sum of its proper divisors (1495495260).

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

664664040 is a wasteful number, since it uses less digits than its factorization.

664664040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846306 (or 1846299 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 664664040 is about 25781.0791085245. The cubic root of 664664040 is about 872.7048596280.

The spelling of 664664040 in words is "six hundred sixty-four million, six hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1846289 3692578 5538867 7385156 9231445 11077734 14770312 16616601 18462890 22155468 27694335 33233202 36925780 44310936 55388670 66466404 73851560 83083005 110777340 132932808 166166010 221554680 332332020 664664040