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957029 = 2961541
BaseRepresentation
bin11101001101001100101
31210121210112
43221221211
5221111104
632302405
711064113
oct3515145
91717715
10957029
115a4037
123a1a05
132767b8
141acab3
1513d86e
hexe9a65

957029 has 8 divisors (see below), whose sum is σ = 1008120. Its totient is φ = 907200.

The previous prime is 956999. The next prime is 957031. The reversal of 957029 is 920759.

It can be written as a sum of positive squares in 4 ways, for example, as 2500 + 954529 = 50^2 + 977^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 957029 - 212 = 952933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 956986 and 957004.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 957029.

It is not an unprimeable number, because it can be changed into a prime (957059) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1499 + ... + 2039.

It is an arithmetic number, because the mean of its divisors is an integer number (126015).

2957029 is an apocalyptic number.

It is an amenable number.

957029 is a deficient number, since it is larger than the sum of its proper divisors (51091).

957029 is a wasteful number, since it uses less digits than its factorization.

957029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631.

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 957029 is about 978.2785901777. The cubic root of 957029 is about 98.5466123103.

The spelling of 957029 in words is "nine hundred fifty-seven thousand, twenty-nine".

Divisors: 1 29 61 541 1769 15689 33001 957029