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18942984 = 2334233141
BaseRepresentation
bin100100001000…
…0110000001000
31022122101220000
41020100300020
514322133414
61514003000
7320004234
oct110206010
938571800
1018942984
11a769165
126416460
133c03288
1427315c4
1519e2b09
hex1210c08

18942984 has 160 divisors (see below), whose sum is σ = 58544640. Its totient is φ = 5702400.

The previous prime is 18942983. The next prime is 18942997. The reversal of 18942984 is 48924981.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18942983) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 462004 + ... + 462044.

It is an arithmetic number, because the mean of its divisors is an integer number (365904).

Almost surely, 218942984 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 18942984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29272320).

18942984 is an abundant number, since it is smaller than the sum of its proper divisors (39601656).

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

18942984 is a wasteful number, since it uses less digits than its factorization.

18942984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 18942984 is about 4352.3538459091. The cubic root of 18942984 is about 266.5729823688.

The spelling of 18942984 in words is "eighteen million, nine hundred forty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 31 36 41 46 54 62 69 72 81 82 92 93 108 123 124 138 162 164 184 186 207 216 246 248 276 279 324 328 369 372 414 492 552 558 621 648 713 738 744 828 837 943 984 1107 1116 1242 1271 1426 1476 1656 1674 1863 1886 2139 2214 2232 2484 2511 2542 2829 2852 2952 3321 3348 3726 3772 3813 4278 4428 4968 5022 5084 5658 5704 6417 6642 6696 7452 7544 7626 8487 8556 8856 10044 10168 11316 11439 12834 13284 14904 15252 16974 17112 19251 20088 22632 22878 25461 25668 26568 29233 30504 33948 34317 38502 45756 50922 51336 57753 58466 67896 68634 76383 77004 87699 91512 101844 102951 115506 116932 137268 152766 154008 175398 203688 205902 231012 233864 263097 274536 305532 350796 411804 462024 526194 611064 701592 789291 823608 1052388 1578582 2104776 2367873 3157164 4735746 6314328 9471492 18942984