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26630032 = 241113103113
BaseRepresentation
bin110010110010…
…1011110010000
31212002221112111
41211211132100
523304130112
62350435104
7442231402
oct145453620
955087474
1026630032
11140395a0
128b02a94
135695120
143772b72
1525105a7
hex1965790

26630032 has 80 divisors (see below), whose sum is σ = 61746048. Its totient is φ = 10967040.

The previous prime is 26629979. The next prime is 26630057. The reversal of 26630032 is 23003662.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 26629985 and 26630012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235608 + ... + 235720.

Almost surely, 226630032 is an apocalyptic number.

26630032 is a gapful number since it is divisible by the number (22) 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 26630032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30873024).

26630032 is an abundant number, since it is smaller than the sum of its proper divisors (35116016).

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

26630032 is a wasteful number, since it uses less digits than its factorization.

26630032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 26630032 is about 5160.4294394944. The cubic root of 26630032 is about 298.6234414308.

Adding to 26630032 its reverse (23003662), we get a palindrome (49633694).

The spelling of 26630032 in words is "twenty-six million, six hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 103 104 113 143 176 206 208 226 286 412 452 572 824 904 1133 1144 1243 1339 1469 1648 1808 2266 2288 2486 2678 2938 4532 4972 5356 5876 9064 9944 10712 11639 11752 14729 16159 18128 19888 21424 23278 23504 29458 32318 46556 58916 64636 93112 117832 128029 129272 151307 186224 235664 256058 258544 302614 512116 605228 1024232 1210456 1664377 2048464 2420912 3328754 6657508 13315016 26630032