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1042329825 = 32524632577
BaseRepresentation
bin111110001000001…
…011000011100001
32200122022211201100
4332020023003201
54113314023300
6251232425013
734554441315
oct7610130341
92618284640
101042329825
11495405909
122510a8169
13137c3b314
149c609b45
1561793700
hex3e20b0e1

1042329825 has 18 divisors (see below), whose sum is σ = 1866928934. Its totient is φ = 555909120.

The previous prime is 1042329817. The next prime is 1042329829. The reversal of 1042329825 is 5289232401.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 340291809 + 702038016 = 18447^2 + 26496^2 .

It is not a de Polignac number, because 1042329825 - 23 = 1042329817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1042329825.

It is not an unprimeable number, because it can be changed into a prime (1042329829) 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 17 ways as a sum of consecutive naturals, for example, 2316064 + ... + 2316513.

Almost surely, 21042329825 is an apocalyptic number.

1042329825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1042329825 is a deficient number, since it is larger than the sum of its proper divisors (824599109).

1042329825 is a wasteful number, since it uses less digits than its factorization.

1042329825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632593 (or 4632585 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1042329825 is about 32285.1331885126. The cubic root of 1042329825 is about 1013.9154049847.

The spelling of 1042329825 in words is "one billion, forty-two million, three hundred twenty-nine thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 4632577 13897731 23162885 41693193 69488655 115814425 208465965 347443275 1042329825