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1002644064 = 25323481403
BaseRepresentation
bin111011110000110…
…010001001100000
32120212122121002100
4323300302021200
54023134102224
6243254050400
733563222352
oct7360621140
92525577070
101002644064
11474a6a364
1223b949a00
1312c954816
14972390d2
155d054ac9
hex3bc32260

1002644064 has 36 divisors (see below), whose sum is σ = 2851269876. Its totient is φ = 334214592.

The previous prime is 1002644039. The next prime is 1002644107. The reversal of 1002644064 is 4604462001.

1002644064 is a `hidden beast` number, since 10 + 0 + 2 + 644 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1740414 + ... + 1740989.

It is an arithmetic number, because the mean of its divisors is an integer number (79201941).

Almost surely, 21002644064 is an apocalyptic number.

It is an amenable number.

1002644064 is an abundant number, since it is smaller than the sum of its proper divisors (1848625812).

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

1002644064 is a wasteful number, since it uses less digits than its factorization.

1002644064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481419 (or 3481408 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1002644064 is about 31664.5553261056. Note that the first 3 decimals coincide. The cubic root of 1002644064 is about 1000.8805790197.

The spelling of 1002644064 in words is "one billion, two million, six hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3481403 6962806 10444209 13925612 20888418 27851224 31332627 41776836 55702448 62665254 83553672 111404896 125330508 167107344 250661016 334214688 501322032 1002644064