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28002216 = 23311731453
BaseRepresentation
bin110101011010…
…0011110101000
31221200122211010
41222310132220
524132032331
62440103520
7460005054
oct152643650
957618733
1028002216
1114896530
129464ba0
135a55878
143a0cc64
1526d1e46
hex1ab47a8

28002216 has 64 divisors (see below), whose sum is σ = 77469120. Its totient is φ = 8363520.

The previous prime is 28002211. The next prime is 28002217. The reversal of 28002216 is 61220082.

It is a super-3 number, since 3×280022163 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28002192 and 28002201.

It is not an unprimeable number, because it can be changed into a prime (28002211) 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 15 ways as a sum of consecutive naturals, for example, 18546 + ... + 19998.

It is an arithmetic number, because the mean of its divisors is an integer number (1210455).

Almost surely, 228002216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28002216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38734560).

28002216 is an abundant number, since it is smaller than the sum of its proper divisors (49466904).

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

28002216 is a wasteful number, since it uses less digits than its factorization.

28002216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 28002216 is about 5291.7120103044. The cubic root of 28002216 is about 303.6669077871. Note that the first 3 decimals are identical.

Adding to 28002216 its reverse (61220082), we get a palindrome (89222298).

The spelling of 28002216 in words is "twenty-eight million, two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 584 803 876 1453 1606 1752 2409 2906 3212 4359 4818 5812 6424 8718 9636 11624 15983 17436 19272 31966 34872 47949 63932 95898 106069 127864 191796 212138 318207 383592 424276 636414 848552 1166759 1272828 2333518 2545656 3500277 4667036 7000554 9334072 14001108 28002216