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29036 = 2271761
BaseRepresentation
bin111000101101100
31110211102
413011230
51412121
6342232
7150440
oct70554
943742
1029036
111a8a7
1214978
13102a7
14a820
15890b
hex716c

29036 has 24 divisors (see below), whose sum is σ = 62496. Its totient is φ = 11520.

The previous prime is 29033. The next prime is 29059. The reversal of 29036 is 63092.

It is a happy number.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 28999 and 29017.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29036.

It is not an unprimeable number, because it can be changed into a prime (29033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 446 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (2604).

229036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248).

29036 is an abundant number, since it is smaller than the sum of its proper divisors (33460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29036 is a wasteful number, since it uses less digits than its factorization.

29036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 29036 is about 170.3995305158. The cubic root of 29036 is about 30.7358760351.

It can be divided in two parts, 290 and 36, that multiplied together give a triangular number (10440 = T144).

The spelling of 29036 in words is "twenty-nine thousand, thirty-six".

Divisors: 1 2 4 7 14 17 28 34 61 68 119 122 238 244 427 476 854 1037 1708 2074 4148 7259 14518 29036