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29417 = 231279
BaseRepresentation
bin111001011101001
31111100112
413023221
51420132
6344105
7151523
oct71351
944315
1029417
1120113
1215035
131050b
14aa13
158ab2
hex72e9

29417 has 4 divisors (see below), whose sum is σ = 30720. Its totient is φ = 28116.

The previous prime is 29411. The next prime is 29423. The reversal of 29417 is 71492.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (29411) and next prime (29423).

It is a cyclic number.

It is not a de Polignac number, because 29417 - 24 = 29401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23), and also a Moran number because the ratio is a prime number: 1279 = 29417 / (2 + 9 + 4 + 1 + 7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29392 and 29401.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29417.

It is not an unprimeable number, because it can be changed into a prime (29411) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 617 + ... + 662.

It is an arithmetic number, because the mean of its divisors is an integer number (7680).

229417 is an apocalyptic number.

It is an amenable number.

29417 is a deficient number, since it is larger than the sum of its proper divisors (1303).

29417 is a wasteful number, since it uses less digits than its factorization.

29417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302.

The product of its digits is 504, while the sum is 23.

The square root of 29417 is about 171.5138478374. The cubic root of 29417 is about 30.8697273364.

The spelling of 29417 in words is "twenty-nine thousand, four hundred seventeen".

Divisors: 1 23 1279 29417