Search a number
-
+
36429198 = 23131783331
BaseRepresentation
bin1000101011110…
…1110110001110
32112112210110120
42022331312032
533311213243
63340445410
7621433401
oct212756616
975483416
1036429198
1119621883
1210249866
137716450
144ba3d38
1532e8c83
hex22bdd8e

36429198 has 64 divisors (see below), whose sum is σ = 84333312. Its totient is φ = 10391040.

The previous prime is 36429193. The next prime is 36429199. The reversal of 36429198 is 89192463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36429193) 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, 109893 + ... + 110223.

It is an arithmetic number, because the mean of its divisors is an integer number (1317708).

Almost surely, 236429198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36429198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42166656).

36429198 is an abundant number, since it is smaller than the sum of its proper divisors (47904114).

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

36429198 is a wasteful number, since it uses less digits than its factorization.

36429198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449.

The product of its digits is 93312, while the sum is 42.

The square root of 36429198 is about 6035.6605272331. The cubic root of 36429198 is about 331.4997486172.

The spelling of 36429198 in words is "thirty-six million, four hundred twenty-nine thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 83 102 166 221 249 331 442 498 662 663 993 1079 1326 1411 1986 2158 2822 3237 4233 4303 5627 6474 8466 8606 11254 12909 16881 18343 25818 27473 33762 36686 54946 55029 73151 82419 110058 146302 164838 219453 357149 438906 467041 714298 934082 1071447 1401123 2142894 2802246 6071533 12143066 18214599 36429198