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18989568 = 293213317
BaseRepresentation
bin100100001110…
…0001000000000
31022201202210100
41020130020000
514330131233
61515002400
7320260113
oct110341000
938652710
1018989568
11a7a0164
126439400
133c1b540
14274457a
151a01813
hex121c200

18989568 has 120 divisors (see below), whose sum is σ = 59207148. Its totient is φ = 5824512.

The previous prime is 18989567. The next prime is 18989587. The reversal of 18989568 is 86598981.

It can be written as a sum of positive squares in 2 ways, for example, as 15116544 + 3873024 = 3888^2 + 1968^2 .

It is not an unprimeable number, because it can be changed into a prime (18989567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59746 + ... + 60062.

Almost surely, 218989568 is an apocalyptic number.

18989568 is a gapful number since it is divisible by the number (18) 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 18989568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29603574).

18989568 is an abundant number, since it is smaller than the sum of its proper divisors (40217580).

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

18989568 is a wasteful number, since it uses less digits than its factorization.

18989568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 335 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The square root of 18989568 is about 4357.7021467741. The cubic root of 18989568 is about 266.7913195000.

The spelling of 18989568 in words is "eighteen million, nine hundred eighty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 317 384 416 468 512 576 624 634 768 832 936 951 1152 1248 1268 1536 1664 1872 1902 2304 2496 2536 2853 3328 3744 3804 4121 4608 4992 5072 5706 6656 7488 7608 8242 9984 10144 11412 12363 14976 15216 16484 19968 20288 22824 24726 29952 30432 32968 37089 40576 45648 49452 59904 60864 65936 74178 81152 91296 98904 121728 131872 148356 162304 182592 197808 243456 263744 296712 365184 395616 486912 527488 593424 730368 791232 1054976 1186848 1460736 1582464 2109952 2373696 3164928 4747392 6329856 9494784 18989568