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29387241 = 321321392
BaseRepresentation
bin111000000011…
…0100111101001
32001022000201100
41300012213221
530010342431
62525512013
7504534042
oct160064751
961260640
1029387241
1115652084
129a12609
13611c100
143c8d8c9
1528a74e6
hex1c069e9

29387241 has 27 divisors (see below), whose sum is σ = 46297719. Its totient is φ = 17954352.

The previous prime is 29387227. The next prime is 29387273. The reversal of 29387241 is 14278392.

The square root of 29387241 is 5421.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4347225 + 25040016 = 2085^2 + 5004^2 .

It is not a de Polignac number, because 29387241 - 211 = 29385193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 29387196 and 29387205.

It is not an unprimeable number, because it can be changed into a prime (29387641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 211350 + ... + 211488.

Almost surely, 229387241 is an apocalyptic number.

29387241 is the 5421-st square number.

29387241 is the 2711-st centered octagonal number.

It is an amenable number.

29387241 is a deficient number, since it is larger than the sum of its proper divisors (16910478).

29387241 is a wasteful number, since it uses less digits than its factorization.

29387241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 155 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The cubic root of 29387241 is about 308.5931428539.

Multiplying 29387241 by its sum of digits (36), we get a square (1057940676 = 325262).

The spelling of 29387241 in words is "twenty-nine million, three hundred eighty-seven thousand, two hundred forty-one".

Divisors: 1 3 9 13 39 117 139 169 417 507 1251 1521 1807 5421 16263 19321 23491 57963 70473 173889 211419 251173 753519 2260557 3265249 9795747 29387241