Search a number
-
+
29367261 = 32711311367
BaseRepresentation
bin111000000000…
…1101111011101
32001021000022100
41300001233131
530004223021
62525235313
7504421560
oct160015735
961230270
1029367261
1115639070
129a02b39
136112ca1
143c864d7
1528a1626
hex1c01bdd

29367261 has 48 divisors (see below), whose sum is σ = 54632448. Its totient is φ = 14752800.

The previous prime is 29367253. The next prime is 29367271. The reversal of 29367261 is 16276392.

It is not a de Polignac number, because 29367261 - 23 = 29367253 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29367271) 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 47 ways as a sum of consecutive naturals, for example, 20800 + ... + 22166.

It is an arithmetic number, because the mean of its divisors is an integer number (1138176).

Almost surely, 229367261 is an apocalyptic number.

29367261 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

29367261 is a deficient number, since it is larger than the sum of its proper divisors (25265187).

29367261 is a wasteful number, since it uses less digits than its factorization.

29367261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1419 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 29367261 is about 5419.1568532383. The cubic root of 29367261 is about 308.5231908539.

The spelling of 29367261 in words is "twenty-nine million, three hundred sixty-seven thousand, two hundred sixty-one".

Divisors: 1 3 7 9 11 21 31 33 63 77 93 99 217 231 279 341 651 693 1023 1367 1953 2387 3069 4101 7161 9569 12303 15037 21483 28707 42377 45111 86121 105259 127131 135333 296639 315777 381393 466147 889917 947331 1398441 2669751 3263029 4195323 9789087 29367261