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1066479649 = 1741132
BaseRepresentation
bin111111100100010…
…011000000100001
32202022202210001021
4333210103000201
54141004322044
6253454205441
735266633054
oct7744230041
92668683037
101066479649
114a7aaaa44
122591b3881
1313cc45561
14a18d4a9b
1563963e84
hex3f913021

1066479649 has 15 divisors (see below), whose sum is σ = 1143250303. Its totient is φ = 994862848.

The previous prime is 1066479647. The next prime is 1066479691. The reversal of 1066479649 is 9469746601.

The square root of 1066479649 is 32657.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 598536225 + 467943424 = 24465^2 + 21632^2 .

It is not a de Polignac number, because 1066479649 - 21 = 1066479647 is a prime.

It is a super-2 number, since 2×10664796492 = 2274757683462326402, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1066479596 and 1066479605.

It is not an unprimeable number, because it can be changed into a prime (1066479641) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 9437817 + ... + 9437929.

Almost surely, 21066479649 is an apocalyptic number.

1066479649 is the 32657-th square number.

1066479649 is the 16329-th centered octagonal number.

It is an amenable number.

1066479649 is a deficient number, since it is larger than the sum of its proper divisors (76770654).

1066479649 is an frugal number, since it uses more digits than its factorization.

1066479649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The cubic root of 1066479649 is about 1021.6861924504.

The spelling of 1066479649 in words is "one billion, sixty-six million, four hundred seventy-nine thousand, six hundred forty-nine".

Divisors: 1 17 113 289 1921 4913 12769 32657 83521 217073 555169 3690241 9437873 62734097 1066479649