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29131938 = 23211236397
BaseRepresentation
bin110111100100…
…0010010100010
32000211001111200
41233020102202
524424210223
62520222030
7502421523
oct157102242
960731450
1029131938
1115498290
12990a916
13605cb44
143c2484a
152856a43
hex1bc84a2

29131938 has 48 divisors (see below), whose sum is σ = 71862336. Its totient is φ = 8442720.

The previous prime is 29131903. The next prime is 29131943. The reversal of 29131938 is 83913192.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1356 + ... + 7752.

It is an arithmetic number, because the mean of its divisors is an integer number (1497132).

Almost surely, 229131938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29131938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35931168).

29131938 is an abundant number, since it is smaller than the sum of its proper divisors (42730398).

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

29131938 is a wasteful number, since it uses less digits than its factorization.

29131938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6439 (or 6436 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 29131938 is about 5397.4010412420. The cubic root of 29131938 is about 307.6969034346.

It can be divided in two parts, 2913 and 1938, that added together give a triangular number (4851 = T98).

The spelling of 29131938 in words is "twenty-nine million, one hundred thirty-one thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 4554 6397 12794 19191 38382 57573 70367 115146 140734 147131 211101 294262 422202 441393 633303 882786 1266606 1324179 1618441 2648358 3236882 4855323 9710646 14565969 29131938