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426442016 = 257111313313
BaseRepresentation
bin11001011010101…
…111110100100000
31002201102111110202
4121122233310200
51333132121031
6110152044332
713365461120
oct3132576440
91081374422
10426442016
111a9796220
12ba9936a8
136a46bc70
14408c8c80
15276882cb
hex196afd20

426442016 has 96 divisors (see below), whose sum is σ = 1127323008. Its totient is φ = 153354240.

The previous prime is 426442007. The next prime is 426442021. The reversal of 426442016 is 610244624.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 426442016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25376 + ... + 38688.

It is an arithmetic number, because the mean of its divisors is an integer number (11742948).

Almost surely, 2426442016 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 426442016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563661504).

426442016 is an abundant number, since it is smaller than the sum of its proper divisors (700880992).

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

426442016 is a wasteful number, since it uses less digits than its factorization.

426442016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13354 (or 13346 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 426442016 is about 20650.4725369663. The cubic root of 426442016 is about 752.6966721765.

The spelling of 426442016 in words is "four hundred twenty-six million, four hundred forty-two thousand, sixteen".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 8008 13313 16016 26626 32032 53252 93191 106504 146443 173069 186382 213008 292886 346138 372764 426016 585772 692276 745528 1025101 1171544 1211483 1384552 1491056 1903759 2050202 2343088 2422966 2769104 2982112 3807518 4100404 4686176 4845932 5538208 7615036 8200808 9691864 13326313 15230072 16401616 19383728 26652626 30460144 32803232 38767456 53305252 60920288 106610504 213221008 426442016