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18824364 = 223213192973
BaseRepresentation
bin100011111001…
…1110010101100
31022102101011200
41013303302230
514304334424
61511245500
7316001346
oct107636254
938371150
1018824364
11a698029
126379890
133b912a0
142700296
1519bc8c9
hex11f3cac

18824364 has 144 divisors (see below), whose sum is σ = 56565600. Its totient is φ = 5225472.

The previous prime is 18824341. The next prime is 18824369. The reversal of 18824364 is 46342881.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (36864) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18824369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257832 + ... + 257904.

Almost surely, 218824364 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 18824364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28282800).

18824364 is an abundant number, since it is smaller than the sum of its proper divisors (37741236).

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

18824364 is a wasteful number, since it uses less digits than its factorization.

18824364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 139 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 18824364 is about 4338.7053368488. The cubic root of 18824364 is about 266.0153947409.

The spelling of 18824364 in words is "eighteen million, eight hundred twenty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 29 36 38 39 52 57 58 73 76 78 87 114 116 117 146 156 171 174 219 228 234 247 261 292 342 348 377 438 468 494 522 551 657 684 741 754 876 949 988 1044 1102 1131 1314 1387 1482 1508 1653 1898 2117 2204 2223 2262 2628 2774 2847 2964 3306 3393 3796 4161 4234 4446 4524 4959 5548 5694 6351 6612 6786 7163 8322 8468 8541 8892 9918 11388 12483 12702 13572 14326 16644 17082 18031 19053 19836 21489 24966 25404 27521 28652 34164 36062 38106 40223 42978 49932 54093 55042 64467 72124 76212 80446 82563 85956 108186 110084 120669 128934 160892 162279 165126 216372 241338 247689 257868 324558 330252 362007 482676 495378 522899 649116 724014 990756 1045798 1448028 1568697 2091596 3137394 4706091 6274788 9412182 18824364