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426442144 = 25171574993
BaseRepresentation
bin11001011010101…
…111110110100000
31002201102111122111
4121122233312200
51333132122034
6110152045104
713365461362
oct3132576640
91081374574
10426442144
111a9796327
12ba993794
136a46c03b
14408c8d32
1527688364
hex196afda0

426442144 has 48 divisors (see below), whose sum is σ = 894784968. Its totient is φ = 199360512.

The previous prime is 426442123. The next prime is 426442151. The reversal of 426442144 is 441244624.

It can be written as a sum of positive squares in 4 ways, for example, as 352688400 + 73753744 = 18780^2 + 8588^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82912 + ... + 87904.

Almost surely, 2426442144 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 426442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447392484).

426442144 is an abundant number, since it is smaller than the sum of its proper divisors (468342824).

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

426442144 is a wasteful number, since it uses less digits than its factorization.

426442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5177 (or 5169 counting only the distinct ones).

The product of its digits is 24576, while the sum is 31.

The square root of 426442144 is about 20650.4756361688. The cubic root of 426442144 is about 752.6967474858.

Adding to 426442144 its reverse (441244624), we get a palindrome (867686768).

The spelling of 426442144 in words is "four hundred twenty-six million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 157 272 314 544 628 1256 2512 2669 4993 5024 5338 9986 10676 19972 21352 39944 42704 79888 84881 85408 159776 169762 339524 679048 783901 1358096 1567802 2716192 3135604 6271208 12542416 13326317 25084832 26652634 53305268 106610536 213221072 426442144