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1066533552 = 2432723179257
BaseRepresentation
bin111111100100100…
…000001010110000
32202022212111222200
4333210200022300
54141013033202
6253455303200
735300246160
oct7744401260
92668774880
101066533552
114a8037497
1225921ab00
1313cc63c56
14a190a5a0
1563974e1c
hex3f9202b0

1066533552 has 240 divisors, whose sum is σ = 3593341440. Its totient is φ = 288718848.

The previous prime is 1066533509. The next prime is 1066533571. The reversal of 1066533552 is 2553356601.

1066533552 is a `hidden beast` number, since 10 + 6 + 65 + 33 + 552 = 666.

It is a super-2 number, since 2×10665335522 = 2274987635083473408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 4149808 + ... + 4150064.

It is an arithmetic number, because the mean of its divisors is an integer number (14972256).

Almost surely, 21066533552 is an apocalyptic number.

1066533552 is a gapful number since it is divisible by the number (12) 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 1066533552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796670720).

1066533552 is an abundant number, since it is smaller than the sum of its proper divisors (2526807888).

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

1066533552 is a wasteful number, since it uses less digits than its factorization.

1066533552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 1066533552 is about 32657.8252797090. The cubic root of 1066533552 is about 1021.7034051630.

The spelling of 1066533552 in words is "one billion, sixty-six million, five hundred thirty-three thousand, five hundred fifty-two".