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1006066352 = 24537611559
BaseRepresentation
bin111011111101110…
…101101010110000
32121010002110120202
4323331311222300
54030023110402
6243455254332
733634265024
oct7375655260
92533073522
101006066352
114769975a5
12240b1a3a8
13130582445
149788a384
155d4cdb02
hex3bf75ab0

1006066352 has 40 divisors (see below), whose sum is σ = 1989917280. Its totient is φ = 492577280.

The previous prime is 1006066331. The next prime is 1006066361. The reversal of 1006066352 is 2536606001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 644549 + ... + 646107.

It is an arithmetic number, because the mean of its divisors is an integer number (49747932).

Almost surely, 21006066352 is an apocalyptic number.

It is an amenable number.

1006066352 is a deficient number, since it is larger than the sum of its proper divisors (983850928).

1006066352 is a wasteful number, since it uses less digits than its factorization.

1006066352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 1006066352 is about 31718.5490210381. The cubic root of 1006066352 is about 1002.0180420999.

The spelling of 1006066352 in words is "one billion, six million, sixty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 53 106 212 424 761 848 1522 1559 3044 3118 6088 6236 12176 12472 24944 40333 80666 82627 161332 165254 322664 330508 645328 661016 1186399 1322032 2372798 4745596 9491192 18982384 62879147 125758294 251516588 503033176 1006066352