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18813984 = 253727997
BaseRepresentation
bin100011111000…
…1010000100000
31022101211221020
41013301100200
514304021414
61511125440
7315626160
oct107612040
938354836
1018813984
11a690252
126373880
133b89647
1426da5a0
1519b97a9
hex11f1420

18813984 has 48 divisors (see below), whose sum is σ = 56443968. Its totient is φ = 5375232.

The previous prime is 18813983. The next prime is 18813989. The reversal of 18813984 is 48931881.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (18813983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13327 + ... + 14670.

It is an arithmetic number, because the mean of its divisors is an integer number (1175916).

Almost surely, 218813984 is an apocalyptic number.

18813984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18813984 is an abundant number, since it is smaller than the sum of its proper divisors (37629984).

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

18813984 is a wasteful number, since it uses less digits than its factorization.

18813984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28017 (or 28009 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 18813984 is about 4337.5089625268. The cubic root of 18813984 is about 265.9664909642.

The spelling of 18813984 in words is "eighteen million, eight hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 27997 55994 83991 111988 167982 195979 223976 335964 391958 447952 587937 671928 783916 895904 1175874 1343856 1567832 2351748 2687712 3135664 4703496 6271328 9406992 18813984