Search a number
-
+
29438955 = 3257213279
BaseRepresentation
bin111000001001…
…1001111101011
32001101122122200
41300103033223
530014021310
62530551243
7505140600
oct160231753
961348580
1029438955
1115687a17
129a38523
136139800
143ca46a7
1528b79c0
hex1c133eb

29438955 has 108 divisors (see below), whose sum is σ = 65089440. Its totient is φ = 12265344.

The previous prime is 29438953. The next prime is 29438987. The reversal of 29438955 is 55983492.

It is not a de Polignac number, because 29438955 - 21 = 29438953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 29438955.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29438953) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 372606 + ... + 372684.

It is an arithmetic number, because the mean of its divisors is an integer number (602680).

It is a vampire number, since it can be written as 35498295 (with its own digits).

Almost surely, 229438955 is an apocalyptic number.

29438955 is an abundant number, since it is smaller than the sum of its proper divisors (35650485).

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

29438955 is a wasteful number, since it uses less digits than its factorization.

29438955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 29438955 is about 5425.7676876180. The cubic root of 29438955 is about 308.7740516813.

The spelling of 29438955 in words is "twenty-nine million, four hundred thirty-eight thousand, nine hundred fifty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 79 91 105 117 147 169 195 237 245 273 315 395 441 455 507 553 585 637 711 735 819 845 1027 1183 1185 1365 1521 1659 1911 2205 2535 2765 3081 3185 3549 3555 3871 4095 4977 5135 5733 5915 7189 7605 8281 8295 9243 9555 10647 11613 13351 15405 17745 19355 21567 24843 24885 28665 34839 35945 40053 41405 46215 50323 53235 58065 64701 66755 74529 93457 107835 120159 124215 150969 174195 200265 251615 280371 323505 372645 452907 467285 600795 654199 754845 841113 1401855 1962597 2264535 3270995 4205565 5887791 9812985 29438955