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20849238 = 234414373
BaseRepresentation
bin100111110001…
…0001001010110
31110020020210000
41033202021112
520314133423
62022512130
7342133644
oct117421126
943206700
1020849238
1110850383
126b95646
13441cb37
142aaa194
151c6c843
hex13e2256

20849238 has 80 divisors (see below), whose sum is σ = 49640976. Its totient is φ = 6531840.

The previous prime is 20849237. The next prime is 20849263. The reversal of 20849238 is 83294802.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20849237) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 285570 + ... + 285642.

Almost surely, 220849238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20849238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24820488).

20849238 is an abundant number, since it is smaller than the sum of its proper divisors (28791738).

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

20849238 is a wasteful number, since it uses less digits than its factorization.

20849238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 20849238 is about 4566.0965824214. The cubic root of 20849238 is about 275.2306076664.

The spelling of 20849238 in words is "twenty million, eight hundred forty-nine thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 41 43 54 73 81 82 86 123 129 146 162 219 246 258 369 387 438 657 738 774 1107 1161 1314 1763 1971 2214 2322 2993 3139 3321 3483 3526 3942 5289 5913 5986 6278 6642 6966 8979 9417 10578 11826 15867 17958 18834 26937 28251 31734 47601 53874 56502 80811 84753 95202 128699 142803 161622 169506 242433 254259 257398 285606 386097 484866 508518 772194 1158291 2316582 3474873 6949746 10424619 20849238