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28243584 = 273224517
BaseRepresentation
bin110101110111…
…1011010000000
31222010220220200
41223233122000
524212243314
62445205200
7462031545
oct153573200
958126820
1028243584
1114a40906
129560800
135b0b6a5
143a72bcc
15272d709
hex1aef680

28243584 has 48 divisors (see below), whose sum is σ = 81277170. Its totient is φ = 9414144.

The previous prime is 28243583. The next prime is 28243597. The reversal of 28243584 is 48534282.

It can be written as a sum of positive squares in only one way, i.e., 26625600 + 1617984 = 5160^2 + 1272^2 .

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 (36).

It is not an unprimeable number, because it can be changed into a prime (28243583) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 11107 + ... + 13410.

Almost surely, 228243584 is an apocalyptic number.

28243584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28243584 is an abundant number, since it is smaller than the sum of its proper divisors (53033586).

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

28243584 is a wasteful number, since it uses less digits than its factorization.

28243584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24537 (or 24522 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 28243584 is about 5314.4693055845. The cubic root of 28243584 is about 304.5369089834.

The spelling of 28243584 in words is "twenty-eight million, two hundred forty-three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 24517 49034 73551 98068 147102 196136 220653 294204 392272 441306 588408 784544 882612 1176816 1569088 1765224 2353632 3138176 3530448 4707264 7060896 9414528 14121792 28243584