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664971296 = 251110318341
BaseRepresentation
bin100111101000101…
…010100000100000
31201100021001010112
4213220222200200
52330213040141
6145552350452
722323106553
oct4750524040
91640231115
10664971296
113113a4860
12166845428
13a79c6552
146445a69a
153d5a37eb
hex27a2a820

664971296 has 48 divisors (see below), whose sum is σ = 1442121408. Its totient is φ = 299308800.

The previous prime is 664971283. The next prime is 664971311. The reversal of 664971296 is 692179466.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27086 + ... + 45426.

It is an arithmetic number, because the mean of its divisors is an integer number (30044196).

Almost surely, 2664971296 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 664971296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721060704).

664971296 is an abundant number, since it is smaller than the sum of its proper divisors (777150112).

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

664971296 is a wasteful number, since it uses less digits than its factorization.

664971296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18465 (or 18457 counting only the distinct ones).

The product of its digits is 979776, while the sum is 50.

The square root of 664971296 is about 25787.0373637609. The cubic root of 664971296 is about 872.8393147714.

The spelling of 664971296 in words is "six hundred sixty-four million, nine hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 103 176 206 352 412 824 1133 1648 2266 3296 4532 9064 18128 18341 36256 36682 73364 146728 201751 293456 403502 586912 807004 1614008 1889123 3228016 3778246 6456032 7556492 15112984 20780353 30225968 41560706 60451936 83121412 166242824 332485648 664971296