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18939264 = 273313743
BaseRepresentation
bin100100000111…
…1110110000000
31022122012210020
41020033312000
514322024024
61513533440
7316660341
oct110176600
938565706
1018939264
11a766393
126414280
133c01686
1427300c8
1519e1979
hex120fd80

18939264 has 128 divisors (see below), whose sum is σ = 54574080. Its totient is φ = 5806080.

The previous prime is 18939259. The next prime is 18939287. The reversal of 18939264 is 46293981.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (93312) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440427 + ... + 440469.

It is an arithmetic number, because the mean of its divisors is an integer number (426360).

Almost surely, 218939264 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 18939264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27287040).

18939264 is an abundant number, since it is smaller than the sum of its proper divisors (35634816).

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

18939264 is a wasteful number, since it uses less digits than its factorization.

18939264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 18939264 is about 4351.9264699671. The cubic root of 18939264 is about 266.5555314678. Note that the first 4 decimals are identical.

The spelling of 18939264 in words is "eighteen million, nine hundred thirty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 43 48 62 64 74 86 93 96 111 124 128 129 148 172 186 192 222 248 258 296 344 372 384 444 496 516 592 688 744 888 992 1032 1147 1184 1333 1376 1488 1591 1776 1984 2064 2294 2368 2666 2752 2976 3182 3441 3552 3968 3999 4128 4588 4736 4773 5332 5504 5952 6364 6882 7104 7998 8256 9176 9546 10664 11904 12728 13764 14208 15996 16512 18352 19092 21328 25456 27528 31992 36704 38184 42656 49321 50912 55056 63984 73408 76368 85312 98642 101824 110112 127968 146816 147963 152736 170624 197284 203648 220224 255936 295926 305472 394568 440448 511872 591852 610944 789136 1183704 1578272 2367408 3156544 4734816 6313088 9469632 18939264