Search a number
-
+
29126188 = 2273132371
BaseRepresentation
bin110111100011…
…0111000101100
32000210202121201
41233012320230
524424014223
62520135244
7502366000
oct157067054
960722551
1029126188
1115493a33
129907524
13605a340
143c22700
152854ead
hex1bc6e2c

29126188 has 96 divisors (see below), whose sum is σ = 67737600. Its totient is φ = 10866240.

The previous prime is 29126177. The next prime is 29126189. The reversal of 29126188 is 88162192.

It is a super-2 number, since 2×291261882 = 1696669654822688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29126189) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410193 + ... + 410263.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 229126188 is an apocalyptic number.

29126188 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29126188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

29126188 is an abundant number, since it is smaller than the sum of its proper divisors (38611412).

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

29126188 is a wasteful number, since it uses less digits than its factorization.

29126188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its digits is 13824, while the sum is 37.

The square root of 29126188 is about 5396.8683511829. The cubic root of 29126188 is about 307.6766579156.

The spelling of 29126188 in words is "twenty-nine million, one hundred twenty-six thousand, one hundred eighty-eight".

Divisors: 1 2 4 7 13 14 23 26 28 46 49 52 71 91 92 98 142 161 182 196 284 299 322 343 364 497 598 637 644 686 923 994 1127 1196 1274 1372 1633 1846 1988 2093 2254 2548 3266 3479 3692 4186 4459 4508 6461 6532 6958 7889 8372 8918 11431 12922 13916 14651 15778 17836 21229 22862 24353 25844 29302 31556 42458 45227 45724 48706 58604 80017 84916 90454 97412 102557 148603 160034 180908 205114 297206 316589 320068 410228 560119 594412 633178 1040221 1120238 1266356 2080442 2240476 4160884 7281547 14563094 29126188