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28041984 = 28334057
BaseRepresentation
bin110101011111…
…0001100000000
31221202200101000
41222332030000
524134320414
62441012000
7460232025
oct152761400
957680330
1028041984
11149133a3
129484000
135a6a9b9
143a1d54c
1526ddb09
hex1abe300

28041984 has 72 divisors (see below), whose sum is σ = 82945520. Its totient is φ = 9345024.

The previous prime is 28041953. The next prime is 28041997. The reversal of 28041984 is 48914082.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 7 ways as a sum of consecutive naturals, for example, 4884 + ... + 8940.

Almost surely, 228041984 is an apocalyptic number.

28041984 is a gapful number since it is divisible by the number (24) 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 28041984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41472760).

28041984 is an abundant number, since it is smaller than the sum of its proper divisors (54903536).

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

28041984 is an equidigital number, since it uses as much as digits as its factorization.

28041984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4062 counting only the distinct ones).

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

The square root of 28041984 is about 5295.4682512503. The cubic root of 28041984 is about 303.8105930026.

The spelling of 28041984 in words is "twenty-eight million, forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 4057 6912 8114 12171 16228 24342 32456 36513 48684 64912 73026 97368 109539 129824 146052 194736 219078 259648 292104 389472 438156 519296 584208 778944 876312 1038592 1168416 1557888 1752624 2336832 3115776 3505248 4673664 7010496 9347328 14020992 28041984