Search a number
-
+
23814882 = 23272133167
BaseRepresentation
bin101101011011…
…0001011100010
31122210220212200
41122312023202
522044034012
62210234030
7406265100
oct132661342
948726780
1023814882
1112496523
127b85916
134c1a960
14323cc70
1521563dc
hex16b62e2

23814882 has 144 divisors (see below), whose sum is σ = 67721472. Its totient is φ = 5987520.

The previous prime is 23814877. The next prime is 23814893. The reversal of 23814882 is 28841832.

It is a happy number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 355413 + ... + 355479.

It is an arithmetic number, because the mean of its divisors is an integer number (470288).

Almost surely, 223814882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23814882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33860736).

23814882 is an abundant number, since it is smaller than the sum of its proper divisors (43906590).

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

23814882 is a wasteful number, since it uses less digits than its factorization.

23814882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 23814882 is about 4880.0493849960. The cubic root of 23814882 is about 287.7063702925.

The spelling of 23814882 in words is "twenty-three million, eight hundred fourteen thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 49 62 63 67 78 91 93 98 117 126 134 147 182 186 201 217 234 273 279 294 402 403 434 441 469 546 558 603 637 651 806 819 871 882 938 1206 1209 1274 1302 1407 1519 1638 1742 1911 1953 2077 2418 2613 2814 2821 3038 3283 3627 3822 3906 4154 4221 4557 5226 5642 5733 6097 6231 6566 7254 7839 8442 8463 9114 9849 11466 12194 12462 13671 14539 15678 16926 18291 18693 19698 19747 25389 27001 27342 29078 29547 36582 37386 39494 42679 43617 50778 54002 54873 59094 59241 81003 85358 87234 101773 109746 118482 128037 130851 162006 177723 189007 203546 243009 256074 261702 305319 355446 378014 384111 486018 567021 610638 768222 915957 1134042 1323049 1701063 1831914 2646098 3402126 3969147 7938294 11907441 23814882