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690488064 = 283476771
BaseRepresentation
bin101001001010000…
…000001100000000
31210010021102120000
4221022000030000
52403231104224
6152303320000
723053023510
oct5112001400
91703242500
10690488064
113248429a2
121732b0000
13b008ba26
14679bd840
15409440c9
hex29280300

690488064 has 360 divisors, whose sum is σ = 2421796608. Its totient is φ = 191600640.

The previous prime is 690488047. The next prime is 690488143. The reversal of 690488064 is 460884096.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9725149 + ... + 9725219.

Almost surely, 2690488064 is an apocalyptic number.

690488064 is a gapful number since it is divisible by the number (64) 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 690488064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210898304).

690488064 is an abundant number, since it is smaller than the sum of its proper divisors (1731308544).

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

690488064 is an equidigital number, since it uses as much as digits as its factorization.

690488064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

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

The square root of 690488064 is about 26277.1395703566. The cubic root of 690488064 is about 883.8638911948.

The spelling of 690488064 in words is "six hundred ninety million, four hundred eighty-eight thousand, sixty-four".