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10829481 = 3132312073
BaseRepresentation
bin101001010011…
…111010101001
3202101012020220
4221103322221
510233020411
61024040253
7161022555
oct51237251
922335226
1010829481
116127393
123763089
1323222a0
14161c865
15e3db06
hexa53ea9

10829481 has 16 divisors (see below), whose sum is σ = 16227456. Its totient is φ = 6374016.

The previous prime is 10829479. The next prime is 10829501. The reversal of 10829481 is 18492801.

It is not a de Polignac number, because 10829481 - 21 = 10829479 is a prime.

It is a super-2 number, since 2×108294812 = 234555317458722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10829461) 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 15 ways as a sum of consecutive naturals, for example, 5140 + ... + 6933.

It is an arithmetic number, because the mean of its divisors is an integer number (1014216).

Almost surely, 210829481 is an apocalyptic number.

It is an amenable number.

10829481 is a deficient number, since it is larger than the sum of its proper divisors (5397975).

10829481 is a wasteful number, since it uses less digits than its factorization.

10829481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12112.

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 10829481 is about 3290.8176795441. The cubic root of 10829481 is about 221.2428348409.

The spelling of 10829481 in words is "ten million, eight hundred twenty-nine thousand, four hundred eighty-one".

Divisors: 1 3 13 23 39 69 299 897 12073 36219 156949 277679 470847 833037 3609827 10829481