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426399776 = 25117511613
BaseRepresentation
bin11001011010100…
…101100000100000
31002201100100112022
4121122211200200
51333124243101
6110151121012
713365224015
oct3132454040
91081310468
10426399776
111a9767510
12ba973168
136a45597a
14408b770c
152767aa1b
hex196a5820

426399776 has 48 divisors (see below), whose sum is σ = 917578368. Its totient is φ = 193440000.

The previous prime is 426399769. The next prime is 426399791. The reversal of 426399776 is 677993624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263546 + ... + 265158.

It is an arithmetic number, because the mean of its divisors is an integer number (19116216).

Almost surely, 2426399776 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 426399776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458789184).

426399776 is an abundant number, since it is smaller than the sum of its proper divisors (491178592).

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

426399776 is a wasteful number, since it uses less digits than its factorization.

426399776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2377 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 53.

The square root of 426399776 is about 20649.4497747519. The cubic root of 426399776 is about 752.6718192805.

The spelling of 426399776 in words is "four hundred twenty-six million, three hundred ninety-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 751 1502 1613 3004 3226 6008 6452 8261 12016 12904 16522 17743 24032 25808 33044 35486 51616 66088 70972 132176 141944 264352 283888 567776 1211363 2422726 4845452 9690904 13324993 19381808 26649986 38763616 53299972 106599944 213199888 426399776