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28199664 = 24357253
BaseRepresentation
bin110101110010…
…0101011110000
31222001200200000
41223210223300
524204342124
62444230000
7461456523
oct153445360
958050600
1028199664
1114a10909
12953b300
135ac46bc
143a60bba
1527206c9
hex1ae4af0

28199664 has 60 divisors (see below), whose sum is σ = 81854136. Its totient is φ = 9398592.

The previous prime is 28199663. The next prime is 28199683. The reversal of 28199664 is 46699182.

It is a happy number.

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 (28199663) 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 11 ways as a sum of consecutive naturals, for example, 262 + ... + 7514.

Almost surely, 228199664 is an apocalyptic number.

28199664 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 28199664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40927068).

28199664 is an abundant number, since it is smaller than the sum of its proper divisors (53654472).

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

28199664 is an equidigital number, since it uses as much as digits as its factorization.

28199664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7276 (or 7258 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 28199664 is about 5310.3355826162. The cubic root of 28199664 is about 304.3789710476.

The spelling of 28199664 in words is "twenty-eight million, one hundred ninety-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 7253 14506 21759 29012 43518 58024 65277 87036 116048 130554 174072 195831 261108 348144 391662 522216 587493 783324 1044432 1174986 1566648 1762479 2349972 3133296 3524958 4699944 7049916 9399888 14099832 28199664