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28182264 = 23311106751
BaseRepresentation
bin110101110000…
…0011011111000
31222000210210120
41223200123320
524203313024
62444013240
7461355015
oct153403370
958023716
1028182264
11149a9830
129531220
135ab97c6
143a5870c
15271a479
hex1ae06f8

28182264 has 32 divisors (see below), whose sum is σ = 76861440. Its totient is φ = 8540000.

The previous prime is 28182247. The next prime is 28182367. The reversal of 28182264 is 46228182.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

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 7 ways as a sum of consecutive naturals, for example, 53112 + ... + 53639.

It is an arithmetic number, because the mean of its divisors is an integer number (2401920).

Almost surely, 228182264 is an apocalyptic number.

28182264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28182264 is an abundant number, since it is smaller than the sum of its proper divisors (48679176).

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

28182264 is a wasteful number, since it uses less digits than its factorization.

28182264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106771 (or 106767 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 28182264 is about 5308.6970152760. The cubic root of 28182264 is about 304.3163546541.

The spelling of 28182264 in words is "twenty-eight million, one hundred eighty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 106751 213502 320253 427004 640506 854008 1174261 1281012 2348522 2562024 3522783 4697044 7045566 9394088 14091132 28182264