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26221632 = 263413331
BaseRepresentation
bin110010000000…
…1110001000000
31211100012022120
41210001301000
523203043012
62334004240
7435610623
oct144016100
954305276
1026221632
111388a778
128946680
135581278
1436a7dba
15247e58c
hex1901c40

26221632 has 56 divisors (see below), whose sum is σ = 71091552. Its totient is φ = 8524800.

The previous prime is 26221631. The next prime is 26221639. The reversal of 26221632 is 23612262.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (26221631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6207 + ... + 9537.

It is an arithmetic number, because the mean of its divisors is an integer number (1269492).

Almost surely, 226221632 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 26221632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35545776).

26221632 is an abundant number, since it is smaller than the sum of its proper divisors (44869920).

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

26221632 is a wasteful number, since it uses less digits than its factorization.

26221632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3377 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 26221632 is about 5120.7062012968. The cubic root of 26221632 is about 297.0890005238.

Adding to 26221632 its reverse (23612262), we get a palindrome (49833894).

The spelling of 26221632 in words is "twenty-six million, two hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3331 3936 6662 7872 9993 13324 19986 26648 39972 53296 79944 106592 136571 159888 213184 273142 319776 409713 546284 639552 819426 1092568 1638852 2185136 3277704 4370272 6555408 8740544 13110816 26221632