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40447125 = 3253157229
BaseRepresentation
bin1001101001001…
…0110010010101
32211002221000200
42122102302111
540323302000
64002531113
71000536435
oct232226225
984087020
1040447125
1120916584
1211666a99
1384c2214
14552c2c5
15383e500
hex2692c95

40447125 has 48 divisors (see below), whose sum is σ = 73697520. Its totient is φ = 21340800.

The previous prime is 40447117. The next prime is 40447129. The reversal of 40447125 is 52174404.

It can be written as a sum of positive squares in 8 ways, for example, as 7717284 + 32729841 = 2778^2 + 5721^2 .

It is not a de Polignac number, because 40447125 - 23 = 40447117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40447129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176511 + ... + 176739.

It is an arithmetic number, because the mean of its divisors is an integer number (1535365).

Almost surely, 240447125 is an apocalyptic number.

40447125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40447125 is a deficient number, since it is larger than the sum of its proper divisors (33250395).

40447125 is a wasteful number, since it uses less digits than its factorization.

40447125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 40447125 is about 6359.8054215518. The cubic root of 40447125 is about 343.2647588770.

It can be divided in two parts, 404471 and 25, that added together give a square (404496 = 6362).

The spelling of 40447125 in words is "forty million, four hundred forty-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 157 225 229 375 471 687 785 1125 1145 1413 2061 2355 3435 3925 5725 7065 10305 11775 17175 19625 28625 35325 35953 51525 58875 85875 107859 176625 179765 257625 323577 539295 898825 1617885 2696475 4494125 8089425 13482375 40447125