Search a number
-
+
29349236 = 22721371093
BaseRepresentation
bin110111111110…
…1010101110100
32001020002120202
41233331111310
530003133421
62525020032
7504315200
oct157752564
961202522
1029349236
1115626574
1299b4618
136107a17
143c7db00
15289b10b
hex1bfd574

29349236 has 36 divisors (see below), whose sum is σ = 60237828. Its totient is φ = 12475008.

The previous prime is 29349223. The next prime is 29349239. The reversal of 29349236 is 63294392.

It can be written as a sum of positive squares in 2 ways, for example, as 24700900 + 4648336 = 4970^2 + 2156^2 .

It is a super-2 number, since 2×293492362 = 1722755307567392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29349236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29349239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26306 + ... + 27398.

It is an arithmetic number, because the mean of its divisors is an integer number (1673273).

Almost surely, 229349236 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 29349236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30118914).

29349236 is an abundant number, since it is smaller than the sum of its proper divisors (30888592).

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

29349236 is a wasteful number, since it uses less digits than its factorization.

29349236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1239 counting only the distinct ones).

The product of its digits is 69984, while the sum is 38.

The square root of 29349236 is about 5417.4935163782. The cubic root of 29349236 is about 308.4600562784.

The spelling of 29349236 in words is "twenty-nine million, three hundred forty-nine thousand, two hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 98 137 196 274 548 959 1093 1918 2186 3836 4372 6713 7651 13426 15302 26852 30604 53557 107114 149741 214228 299482 598964 1048187 2096374 4192748 7337309 14674618 29349236