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29108268 = 22337139277
BaseRepresentation
bin110111100001…
…0100000101100
32000202212001000
41233002200230
524422431033
62515520300
7502262520
oct157024054
960685030
1029108268
1115481522
1298b9090
136052137
143c19d80
15284ea13
hex1bc282c

29108268 has 96 divisors (see below), whose sum is σ = 87180800. Its totient is φ = 8227008.

The previous prime is 29108249. The next prime is 29108269. The reversal of 29108268 is 86280192.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29108269) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 104946 + ... + 105222.

Almost surely, 229108268 is an apocalyptic number.

29108268 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 29108268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43590400).

29108268 is an abundant number, since it is smaller than the sum of its proper divisors (58072532).

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

29108268 is a wasteful number, since it uses less digits than its factorization.

29108268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 29108268 is about 5395.2078736597. The cubic root of 29108268 is about 307.6135452185.

The spelling of 29108268 in words is "twenty-nine million, one hundred eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 139 189 252 277 278 378 417 554 556 756 831 834 973 1108 1251 1662 1668 1939 1946 2493 2502 2919 3324 3753 3878 3892 4986 5004 5817 5838 7479 7506 7756 8757 9972 11634 11676 14958 15012 17451 17514 23268 26271 29916 34902 35028 38503 52353 52542 69804 77006 104706 105084 115509 154012 209412 231018 269521 346527 462036 539042 693054 808563 1039581 1078084 1386108 1617126 2079162 2425689 3234252 4158324 4851378 7277067 9702756 14554134 29108268