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1106825484 = 223299732789
BaseRepresentation
bin100000111111000…
…1101000100001100
32212010200120010110
41001332031010030
54231321403414
6301455040020
736266601312
oct10176150414
92763616113
101106825484
11518857406
1226a810010
1314840062b
14a6dd80b2
1567283459
hex41f8d10c

1106825484 has 48 divisors (see below), whose sum is σ = 2699272800. Its totient is φ = 352536576.

The previous prime is 1106825483. The next prime is 1106825521. The reversal of 1106825484 is 4845286011.

It is not an unprimeable number, because it can be changed into a prime (1106825483) 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 15 ways as a sum of consecutive naturals, for example, 17362 + ... + 50150.

It is an arithmetic number, because the mean of its divisors is an integer number (56234850).

Almost surely, 21106825484 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 1106825484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349636400).

1106825484 is an abundant number, since it is smaller than the sum of its proper divisors (1592447316).

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

1106825484 is a wasteful number, since it uses less digits than its factorization.

1106825484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32922 (or 32920 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 1106825484 is about 33268.9868195591. The cubic root of 1106825484 is about 1034.4108089075.

The spelling of 1106825484 in words is "one billion, one hundred six million, eight hundred twenty-five thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 29 58 87 97 116 174 194 291 348 388 582 1164 2813 5626 8439 11252 16878 32789 33756 65578 98367 131156 196734 393468 950881 1901762 2852643 3180533 3803524 5705286 6361066 9541599 11410572 12722132 19083198 38166396 92235457 184470914 276706371 368941828 553412742 1106825484