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18992988 = 2233723797
BaseRepresentation
bin100100001110…
…0111101011100
31022201221111000
41020130331130
514330233423
61515030300
7320303100
oct110347534
938657430
1018992988
11a7a2793
12643b390
133c1cc71
142745900
151a02843
hex121cf5c

18992988 has 144 divisors (see below), whose sum is σ = 59435040. Its totient is φ = 5225472.

The previous prime is 18992903. The next prime is 18992993. The reversal of 18992988 is 88929981.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195756 + ... + 195852.

Almost surely, 218992988 is an apocalyptic number.

18992988 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 18992988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29717520).

18992988 is an abundant number, since it is smaller than the sum of its proper divisors (40442052).

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

18992988 is a wasteful number, since it uses less digits than its factorization.

18992988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its digits is 746496, while the sum is 54.

The square root of 18992988 is about 4358.0945377539. The cubic root of 18992988 is about 266.8073348115.

The spelling of 18992988 in words is "eighteen million, nine hundred ninety-two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 49 54 63 74 84 97 98 108 111 126 147 148 189 194 196 222 252 259 291 294 333 378 388 441 444 518 582 588 666 679 756 777 873 882 999 1036 1164 1323 1332 1358 1554 1746 1764 1813 1998 2037 2331 2619 2646 2716 3108 3492 3589 3626 3996 4074 4662 4753 5238 5292 5439 6111 6993 7178 7252 8148 9324 9506 10476 10767 10878 12222 13986 14259 14356 16317 18333 19012 21534 21756 24444 25123 27972 28518 32301 32634 36666 42777 43068 48951 50246 57036 64602 65268 73332 75369 85554 96903 97902 100492 128331 129204 150738 171108 175861 193806 195804 226107 256662 301476 351722 387612 452214 513324 527583 678321 703444 904428 1055166 1356642 1582749 2110332 2713284 3165498 4748247 6330996 9496494 18992988