Search a number
-
+
28100664 = 23322371239
BaseRepresentation
bin110101100110…
…0100000111000
31221212122212100
41223030200320
524143210124
62442143400
7460565064
oct153144070
957778770
1028100664
1114953499
1294b1b60
135a8b617
143a36aa4
1527011c9
hex1acc838

28100664 has 96 divisors (see below), whose sum is σ = 80870400. Its totient is φ = 8796480.

The previous prime is 28100659. The next prime is 28100707. The reversal of 28100664 is 46600182.

28100664 is nontrivially palindromic in base 7.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 117457 + ... + 117695.

It is an arithmetic number, because the mean of its divisors is an integer number (842400).

Almost surely, 228100664 is an apocalyptic number.

28100664 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 28100664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40435200).

28100664 is an abundant number, since it is smaller than the sum of its proper divisors (52769736).

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

28100664 is a wasteful number, since it uses less digits than its factorization.

28100664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28100664 is about 5301.0059422717. The cubic root of 28100664 is about 304.0223610052.

The spelling of 28100664 in words is "twenty-eight million, one hundred thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 71 72 92 138 142 184 207 213 239 276 284 414 426 478 552 568 639 717 828 852 956 1278 1434 1633 1656 1704 1912 2151 2556 2868 3266 4302 4899 5112 5497 5736 6532 8604 9798 10994 13064 14697 16491 16969 17208 19596 21988 29394 32982 33938 39192 43976 49473 50907 58788 65964 67876 98946 101814 117576 131928 135752 152721 197892 203628 305442 390287 395784 407256 610884 780574 1170861 1221768 1561148 2341722 3122296 3512583 4683444 7025166 9366888 14050332 28100664