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28241248 = 25733183
BaseRepresentation
bin110101110111…
…0110101100000
31222010210201011
41223232311200
524212204443
62445150304
7462022000
oct153566540
958123634
1028241248
1114a3a082
12955b394
135b0a5c9
143a72000
15272cb9d
hex1aeed60

28241248 has 96 divisors (see below), whose sum is σ = 67737600. Its totient is φ = 11571840.

The previous prime is 28241243. The next prime is 28241281. The reversal of 28241248 is 84214282.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28241243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340215 + ... + 340297.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 228241248 is an apocalyptic number.

28241248 is a gapful number since it is divisible by the number (28) 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 28241248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

28241248 is an abundant number, since it is smaller than the sum of its proper divisors (39496352).

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

28241248 is an equidigital number, since it uses as much as digits as its factorization.

28241248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its digits is 8192, while the sum is 31.

The square root of 28241248 is about 5314.2495236863. The cubic root of 28241248 is about 304.5285127658.

The spelling of 28241248 in words is "twenty-eight million, two hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 83 98 112 124 166 196 217 224 248 332 343 392 434 496 581 664 686 784 868 992 1162 1328 1372 1519 1568 1736 2324 2573 2656 2744 3038 3472 4067 4648 5146 5488 6076 6944 8134 9296 10292 10633 10976 12152 16268 18011 18592 20584 21266 24304 28469 32536 36022 41168 42532 48608 56938 65072 72044 82336 85064 113876 126077 130144 144088 170128 227752 252154 288176 340256 455504 504308 576352 882539 911008 1008616 1765078 2017232 3530156 4034464 7060312 14120624 28241248