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40664064 = 210373161
BaseRepresentation
bin1001101100011…
…1110000000000
32211111221121110
42123013300000
540402222224
64011323320
71002432060
oct233076000
984457543
1040664064
1120a54571
1211750540
138569b9c
1455873a0
153883929
hex26c7c00

40664064 has 176 divisors, whose sum is σ = 129959936. Its totient is φ = 11059200.

The previous prime is 40664053. The next prime is 40664081. The reversal of 40664064 is 46046604.

It is a super-2 number, since 2×406640642 = 3307132201992192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666594 + ... + 666654.

Almost surely, 240664064 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 40664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64979968).

40664064 is an abundant number, since it is smaller than the sum of its proper divisors (89295872).

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

40664064 is a wasteful number, since it uses less digits than its factorization.

40664064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 40664064 is about 6376.8380879555. The cubic root of 40664064 is about 343.8773675012.

The spelling of 40664064 in words is "forty million, six hundred sixty-four thousand, sixty-four".