Search a number
-
+
29268356 = 221317113293
BaseRepresentation
bin110111110100…
…1100110000100
32001001222122012
41233221212010
524443041411
62523153352
7503530325
oct157514604
961058565
1029268356
1115580827
129975858
1360a9c70
143c5c44c
15288218b
hex1be9984

29268356 has 48 divisors (see below), whose sum is σ = 59122224. Its totient is φ = 12558336.

The previous prime is 29268331. The next prime is 29268359. The reversal of 29268356 is 65386292.

It can be written as a sum of positive squares in 8 ways, for example, as 280900 + 28987456 = 530^2 + 5384^2 .

It is not an unprimeable number, because it can be changed into a prime (29268359) 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 15 ways as a sum of consecutive naturals, for example, 99746 + ... + 100038.

It is an arithmetic number, because the mean of its divisors is an integer number (1231713).

Almost surely, 229268356 is an apocalyptic number.

29268356 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

29268356 is an abundant number, since it is smaller than the sum of its proper divisors (29853868).

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

29268356 is a wasteful number, since it uses less digits than its factorization.

29268356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 438 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The square root of 29268356 is about 5410.0236598374. The cubic root of 29268356 is about 308.1764463770.

The spelling of 29268356 in words is "twenty-nine million, two hundred sixty-eight thousand, three hundred fifty-six".

Divisors: 1 2 4 13 17 26 34 52 68 113 221 226 293 442 452 586 884 1172 1469 1921 2938 3809 3842 4981 5876 7618 7684 9962 15236 19924 24973 33109 49946 64753 66218 99892 129506 132436 259012 430417 562853 860834 1125706 1721668 2251412 7317089 14634178 29268356