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10429825 = 527107557
BaseRepresentation
bin100111110010…
…010110000001
3201121220000211
4213302112001
510132223300
61011314121
7154436440
oct47622601
921556024
1010429825
11598409a
1235ab941
1322123c3
141556d57
15db04ba
hex9f2581

10429825 has 24 divisors (see below), whose sum is σ = 14945472. Its totient is φ = 7072320.

The previous prime is 10429807. The next prime is 10429847. The reversal of 10429825 is 52892401.

10429825 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10429825 - 221 = 8332673 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18447 + ... + 19003.

It is an arithmetic number, because the mean of its divisors is an integer number (622728).

Almost surely, 210429825 is an apocalyptic number.

It is an amenable number.

10429825 is a deficient number, since it is larger than the sum of its proper divisors (4515647).

10429825 is a wasteful number, since it uses less digits than its factorization.

10429825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 10429825 is about 3229.5239587283. The cubic root of 10429825 is about 218.4870363940.

It can be divided in two parts, 104 and 29825, that added together give a square (29929 = 1732).

The spelling of 10429825 in words is "ten million, four hundred twenty-nine thousand, eight hundred twenty-five".

Divisors: 1 5 7 25 35 107 175 535 557 749 2675 2785 3745 3899 13925 18725 19495 59599 97475 297995 417193 1489975 2085965 10429825