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189424818 = 2371131127
BaseRepresentation
bin10110100101001…
…10010010110010
3111012102210000000
423102212102302
5341443043233
630444010430
74460040642
oct1322462262
9435383000
10189424818
1197a1a740
1253530a16
13303239bb
141b22c522
151196ad13
hexb4a64b2

189424818 has 128 divisors (see below), whose sum is σ = 483655680. Its totient is φ = 55112400.

The previous prime is 189424811. The next prime is 189424843. The reversal of 189424818 is 818424981.

Its product of digits (147456) is a multiple of the sum of its prime factors (192).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (189424811) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1491471 + ... + 1491597.

It is an arithmetic number, because the mean of its divisors is an integer number (3778560).

Almost surely, 2189424818 is an apocalyptic number.

189424818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 189424818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241827840).

189424818 is an abundant number, since it is smaller than the sum of its proper divisors (294230862).

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

189424818 is a wasteful number, since it uses less digits than its factorization.

189424818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 189424818 is about 13763.1688938267. The cubic root of 189424818 is about 574.3090053565.

The spelling of 189424818 in words is "one hundred eighty-nine million, four hundred twenty-four thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 81 93 99 127 162 186 198 243 254 279 297 341 381 486 558 594 682 729 762 837 891 1023 1143 1397 1458 1674 1782 2046 2187 2286 2511 2673 2794 3069 3429 3937 4191 4374 5022 5346 6138 6858 7533 7874 8019 8382 9207 10287 11811 12573 15066 16038 18414 20574 22599 23622 24057 25146 27621 30861 35433 37719 43307 45198 48114 55242 61722 67797 70866 75438 82863 86614 92583 106299 113157 129921 135594 165726 185166 212598 226314 248589 259842 277749 318897 339471 389763 497178 555498 637794 678942 745767 779526 956691 1018413 1169289 1491534 1913382 2036826 2338578 2870073 3055239 3507867 5740146 6110478 7015734 8610219 10523601 17220438 21047202 31570803 63141606 94712409 189424818