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10829477 = 731091361
BaseRepresentation
bin101001010011…
…111010100101
3202101012020202
4221103322211
510233020402
61024040245
7161022551
oct51237245
922335222
1010829477
11612738a
123763085
132322299
14161c861
15e3db02
hexa53ea5

10829477 has 8 divisors (see below), whose sum is σ = 11086680. Its totient is φ = 10575360.

The previous prime is 10829473. The next prime is 10829479. The reversal of 10829477 is 77492801.

It can be written as a sum of positive squares in 4 ways, for example, as 1256641 + 9572836 = 1121^2 + 3094^2 .

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 10829477 - 22 = 10829473 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 10829477.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10829471) 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 7 ways as a sum of consecutive naturals, for example, 7277 + ... + 8637.

It is an arithmetic number, because the mean of its divisors is an integer number (1385835).

Almost surely, 210829477 is an apocalyptic number.

It is an amenable number.

10829477 is a deficient number, since it is larger than the sum of its proper divisors (257203).

10829477 is a wasteful number, since it uses less digits than its factorization.

10829477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543.

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 10829477 is about 3290.8170717924. The cubic root of 10829477 is about 221.2428076013.

The spelling of 10829477 in words is "ten million, eight hundred twenty-nine thousand, four hundred seventy-seven".

Divisors: 1 73 109 1361 7957 99353 148349 10829477