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28305504 = 25331812
BaseRepresentation
bin110101111111…
…0100001100000
31222021001212000
41223332201200
524221234004
62450404000
7462410223
oct153764140
958231760
1028305504
1114a83387
129590600
135b30926
143a8b5ba
152741c39
hex1afe860

28305504 has 72 divisors (see below), whose sum is σ = 83016360. Its totient is φ = 9383040.

The previous prime is 28305469. The next prime is 28305517. The reversal of 28305504 is 40550382.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 (27).

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 11 ways as a sum of consecutive naturals, for example, 156294 + ... + 156474.

It is an arithmetic number, because the mean of its divisors is an integer number (1153005).

Almost surely, 228305504 is an apocalyptic number.

28305504 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 28305504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41508180).

28305504 is an abundant number, since it is smaller than the sum of its proper divisors (54710856).

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

28305504 is an equidigital number, since it uses as much as digits as its factorization.

28305504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 28305504 is about 5320.2917213251. The cubic root of 28305504 is about 304.7592976836.

Adding to 28305504 its reverse (40550382), we get a palindrome (68855886).

The spelling of 28305504 in words is "twenty-eight million, three hundred five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 181 216 288 362 432 543 724 864 1086 1448 1629 2172 2896 3258 4344 4887 5792 6516 8688 9774 13032 17376 19548 26064 32761 39096 52128 65522 78192 98283 131044 156384 196566 262088 294849 393132 524176 589698 786264 884547 1048352 1179396 1572528 1769094 2358792 3145056 3538188 4717584 7076376 9435168 14152752 28305504