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426211104 = 253111732333
BaseRepresentation
bin11001011001110…
…111011100100000
31002200222202201110
4121121313130200
51333102223404
6110143103320
713363506654
oct3131673440
91080882643
10426211104
111a9648790
12ba8a1b40
136a3bab27
1440868a64
152763eb89
hex19677720

426211104 has 96 divisors (see below), whose sum is σ = 1228094784. Its totient is φ = 128353280.

The previous prime is 426211099. The next prime is 426211109. The reversal of 426211104 is 401112624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (426211099) and next prime (426211109).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (426211109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181522 + ... + 183854.

It is an arithmetic number, because the mean of its divisors is an integer number (12792654).

Almost surely, 2426211104 is an apocalyptic number.

426211104 is a gapful number since it is divisible by the number (44) 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 426211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614047392).

426211104 is an abundant number, since it is smaller than the sum of its proper divisors (801883680).

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

426211104 is a wasteful number, since it uses less digits than its factorization.

426211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2522 counting only the distinct ones).

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

The square root of 426211104 is about 20644.8808182561. The cubic root of 426211104 is about 752.5607896351.

Adding to 426211104 its reverse (401112624), we get a palindrome (827323728).

The spelling of 426211104 in words is "four hundred twenty-six million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 173 176 264 346 352 519 528 692 1038 1056 1384 1903 2076 2333 2768 3806 4152 4666 5536 5709 6999 7612 8304 9332 11418 13998 15224 16608 18664 22836 25663 27996 30448 37328 45672 51326 55992 60896 74656 76989 91344 102652 111984 153978 182688 205304 223968 307956 403609 410608 615912 807218 821216 1210827 1231824 1614436 2421654 2463648 3228872 4439699 4843308 6457744 8879398 9686616 12915488 13319097 17758796 19373232 26638194 35517592 38746464 53276388 71035184 106552776 142070368 213105552 426211104