Search a number
-
+
29198208 = 273135849
BaseRepresentation
bin110111101100…
…0011110000000
32000221102102010
41233120132000
524433320313
62521452520
7503115654
oct157303600
960842363
1029198208
1115533056
129941140
136084060
143c40a64
15286b4c3
hex1bd8780

29198208 has 64 divisors (see below), whose sum is σ = 83538000. Its totient is φ = 8982528.

The previous prime is 29198207. The next prime is 29198219. The reversal of 29198208 is 80289192.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×291982082 = 1705070700822528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29198207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2068 + ... + 7916.

Almost surely, 229198208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29198208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41769000).

29198208 is an abundant number, since it is smaller than the sum of its proper divisors (54339792).

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

29198208 is a wasteful number, since it uses less digits than its factorization.

29198208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5879 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 29198208 is about 5403.5366196594. The cubic root of 29198208 is about 307.9300453934.

The spelling of 29198208 in words is "twenty-nine million, one hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 5849 11698 17547 23396 35094 46792 70188 76037 93584 140376 152074 187168 228111 280752 304148 374336 456222 561504 608296 748672 912444 1123008 1216592 1824888 2246016 2433184 3649776 4866368 7299552 9732736 14599104 29198208