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29144641 = 37261349
BaseRepresentation
bin110111100101…
…1011001000001
32000211200221011
41233023121001
524430112031
62520400521
7502503541
oct157133101
960750834
1029144641
11154a6889
129916141
136065866
143c29321
15285a6b1
hex1bcb641

29144641 has 12 divisors (see below), whose sum is σ = 30531900. Its totient is φ = 27812160.

The previous prime is 29144639. The next prime is 29144659. The reversal of 29144641 is 14644192.

It can be written as a sum of positive squares in 6 ways, for example, as 2146225 + 26998416 = 1465^2 + 5196^2 .

It is not a de Polignac number, because 29144641 - 21 = 29144639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29144041) 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 11 ways as a sum of consecutive naturals, for example, 83335 + ... + 83683.

It is an arithmetic number, because the mean of its divisors is an integer number (2544325).

Almost surely, 229144641 is an apocalyptic number.

It is an amenable number.

29144641 is a deficient number, since it is larger than the sum of its proper divisors (1387259).

29144641 is an equidigital number, since it uses as much as digits as its factorization.

29144641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 447 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 29144641 is about 5398.5776830569. The cubic root of 29144641 is about 307.7416207453.

The spelling of 29144641 in words is "twenty-nine million, one hundred forty-four thousand, six hundred forty-one".

Divisors: 1 37 61 349 1369 2257 12913 21289 83509 477781 787693 29144641