Search a number
-
+
29198988 = 22337132971
BaseRepresentation
bin110111101100…
…0101010001100
32000221110111000
41233120222030
524433331423
62521500300
7503121150
oct157305214
960843430
1029198988
11155336a5
129941690
136084510
143c41060
15286b843
hex1bd8a8c

29198988 has 96 divisors (see below), whose sum is σ = 93201920. Its totient is φ = 7698240.

The previous prime is 29198987. The next prime is 29198989. The reversal of 29198988 is 88989192.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29198987) and next prime (29198989).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (29198987) 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 31 ways as a sum of consecutive naturals, for example, 8343 + ... + 11313.

Almost surely, 229198988 is an apocalyptic number.

29198988 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 29198988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46600960).

29198988 is an abundant number, since it is smaller than the sum of its proper divisors (64002932).

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

29198988 is a wasteful number, since it uses less digits than its factorization.

29198988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2996 counting only the distinct ones).

The product of its digits is 746496, while the sum is 54.

The square root of 29198988 is about 5403.6087941301. The cubic root of 29198988 is about 307.9327873802.

The spelling of 29198988 in words is "twenty-nine million, one hundred ninety-eight thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 2971 3276 4914 5942 8913 9828 11884 17826 20797 26739 35652 38623 41594 53478 62391 77246 80217 83188 106956 115869 124782 154492 160434 187173 231738 249564 270361 320868 347607 374346 463476 540722 561519 695214 748692 811083 1042821 1081444 1123038 1390428 1622166 2085642 2246076 2433249 3244332 4171284 4866498 7299747 9732996 14599494 29198988