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426123104 = 25111796763
BaseRepresentation
bin11001011001100…
…001111101100000
31002200211022000012
4121121201331200
51333041414404
6110141144052
713362662261
oct3131417540
91080738005
10426123104
111a9598660
12ba85b028
136a389a64
1440844968
1527623a6e
hex19661f60

426123104 has 48 divisors (see below), whose sum is σ = 920445120. Its totient is φ = 192581760.

The previous prime is 426123097. The next prime is 426123107. The reversal of 426123104 is 401321624.

It is a self number, because there is not a number n which added to its sum of digits gives 426123104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426123107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59627 + ... + 66389.

It is an arithmetic number, because the mean of its divisors is an integer number (19175940).

Almost surely, 2426123104 is an apocalyptic number.

426123104 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 426123104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460222560).

426123104 is an abundant number, since it is smaller than the sum of its proper divisors (494322016).

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

426123104 is a wasteful number, since it uses less digits than its factorization.

426123104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6963 (or 6955 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 426123104 is about 20642.7494292790. The cubic root of 426123104 is about 752.5089922142.

Adding to 426123104 its reverse (401321624), we get a palindrome (827444728).

The spelling of 426123104 in words is "four hundred twenty-six million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 179 352 358 716 1432 1969 2864 3938 5728 6763 7876 13526 15752 27052 31504 54104 63008 74393 108208 148786 216416 297572 595144 1190288 1210577 2380576 2421154 4842308 9684616 13316347 19369232 26632694 38738464 53265388 106530776 213061552 426123104