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18214944 = 2531147367
BaseRepresentation
bin100010101111…
…1000000100000
31021021102012120
41011133000200
514130334234
61450224240
7310552536
oct105370040
937242176
1018214944
11a311180
126125080
133a09a97
1425c2156
1518ec049
hex115f020

18214944 has 96 divisors (see below), whose sum is σ = 53415936. Its totient is φ = 5387520.

The previous prime is 18214943. The next prime is 18214957. The reversal of 18214944 is 44941281.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18214943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49449 + ... + 49815.

It is an arithmetic number, because the mean of its divisors is an integer number (556416).

Almost surely, 218214944 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 18214944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26707968).

18214944 is an abundant number, since it is smaller than the sum of its proper divisors (35200992).

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

18214944 is a wasteful number, since it uses less digits than its factorization.

18214944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 18214944 is about 4267.8969059714. The cubic root of 18214944 is about 263.1131860160.

The spelling of 18214944 in words is "eighteen million, two hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 88 94 96 132 141 176 188 264 282 352 367 376 517 528 564 734 752 1034 1056 1101 1128 1468 1504 1551 2068 2202 2256 2936 3102 4037 4136 4404 4512 5872 6204 8074 8272 8808 11744 12111 12408 16148 16544 17249 17616 24222 24816 32296 34498 35232 48444 49632 51747 64592 68996 96888 103494 129184 137992 189739 193776 206988 275984 379478 387552 413976 551968 569217 758956 827952 1138434 1517912 1655904 2276868 3035824 4553736 6071648 9107472 18214944