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18204984 = 2332741881
BaseRepresentation
bin100010101110…
…0100100111000
31021020220112200
41011130210320
514130024414
61450110200
7310511520
oct105344470
937226480
1018204984
11a304746
12611b360
133a053a5
1425bc680
1518e9109
hex115c938

18204984 has 96 divisors (see below), whose sum is σ = 57788640. Its totient is φ = 5068800.

The previous prime is 18204931. The next prime is 18205001. The reversal of 18204984 is 48940281.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20224 + ... + 21104.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 218204984 is an apocalyptic number.

18204984 is a gapful number since it is divisible by the number (14) 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 18204984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28894320).

18204984 is an abundant number, since it is smaller than the sum of its proper divisors (39583656).

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

18204984 is a wasteful number, since it uses less digits than its factorization.

18204984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 18204984 is about 4266.7298953648. The cubic root of 18204984 is about 263.0652201785.

The spelling of 18204984 in words is "eighteen million, two hundred four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 164 168 246 252 287 328 369 492 504 574 738 861 881 984 1148 1476 1722 1762 2296 2583 2643 2952 3444 3524 5166 5286 6167 6888 7048 7929 10332 10572 12334 15858 18501 20664 21144 24668 31716 36121 37002 49336 55503 63432 72242 74004 108363 111006 144484 148008 216726 222012 252847 288968 325089 433452 444024 505694 650178 758541 866904 1011388 1300356 1517082 2022776 2275623 2600712 3034164 4551246 6068328 9102492 18204984