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18898272 = 253423317
BaseRepresentation
bin100100000010…
…1110101100000
31022120010120000
41020011311200
514314221042
61513020000
7316430001
oct110056540
938503500
1018898272
11a738608
1263b4600
133bb8b13
14271d1a8
1519d474c
hex1205d60

18898272 has 120 divisors (see below), whose sum is σ = 58178736. Its totient is φ = 6006528.

The previous prime is 18898261. The next prime is 18898273. The reversal of 18898272 is 27289881.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18898273) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59458 + ... + 59774.

Almost surely, 218898272 is an apocalyptic number.

18898272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18898272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29089368).

18898272 is an abundant number, since it is smaller than the sum of its proper divisors (39280464).

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

18898272 is a wasteful number, since it uses less digits than its factorization.

18898272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 345 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 18898272 is about 4347.2142804329. The cubic root of 18898272 is about 266.3630822959.

The spelling of 18898272 in words is "eighteen million, eight hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 317 324 368 414 432 552 621 634 648 736 828 864 951 1104 1242 1268 1296 1656 1863 1902 2208 2484 2536 2592 2853 3312 3726 3804 4968 5072 5706 6624 7291 7452 7608 8559 9936 10144 11412 14582 14904 15216 17118 19872 21873 22824 25677 29164 29808 30432 34236 43746 45648 51354 58328 59616 65619 68472 87492 91296 102708 116656 131238 136944 174984 196857 205416 233312 262476 273888 349968 393714 410832 524952 590571 699936 787428 821664 1049904 1181142 1574856 2099808 2362284 3149712 4724568 6299424 9449136 18898272