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28469000 = 23537383
BaseRepresentation
bin110110010011…
…0011100001000
31222120101010102
41230212130020
524242002000
62454104532
7463661000
oct154463410
958511112
1028469000
11150851aa
12964b148
135b8a181
143ad1000
1527753d5
hex1b26708

28469000 has 128 divisors (see below), whose sum is σ = 78624000. Its totient is φ = 9643200.

The previous prime is 28468949. The next prime is 28469017. The reversal of 28469000 is 96482.

It is a super-2 number, since 2×284690002 = 1620967922000000, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 342959 + ... + 343041.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 228469000 is an apocalyptic number.

28469000 is a gapful number since it is divisible by the number (20) 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 28469000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312000).

28469000 is an abundant number, since it is smaller than the sum of its proper divisors (50155000).

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

28469000 is an equidigital number, since it uses as much as digits as its factorization.

28469000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 28469000 is about 5335.6349200447. The cubic root of 28469000 is about 305.3449470018.

The spelling of 28469000 in words is "twenty-eight million, four hundred sixty-nine thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 83 98 100 125 140 166 175 196 200 245 250 280 332 343 350 392 415 490 500 581 664 686 700 830 875 980 1000 1162 1225 1372 1400 1660 1715 1750 1960 2075 2324 2450 2744 2905 3320 3430 3500 4067 4150 4648 4900 5810 6125 6860 7000 8134 8300 8575 9800 10375 11620 12250 13720 14525 16268 16600 17150 20335 20750 23240 24500 28469 29050 32536 34300 40670 41500 42875 49000 56938 58100 68600 72625 81340 83000 85750 101675 113876 116200 142345 145250 162680 171500 203350 227752 284690 290500 343000 406700 508375 569380 581000 711725 813400 1016750 1138760 1423450 2033500 2846900 3558625 4067000 5693800 7117250 14234500 28469000