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426853296 = 243241197367
BaseRepresentation
bin11001011100010…
…100001110110000
31002202012101122100
4121130110032300
51333233301141
6110204540400
713402123152
oct3134241660
91082171570
10426853296
111a9a47221
12bab51700
136a58421c
1440994ad2
152771a0b6
hex197143b0

426853296 has 120 divisors (see below), whose sum is σ = 1233296064. Its totient is φ = 137733120.

The previous prime is 426853277. The next prime is 426853363. The reversal of 426853296 is 692358624.

426853296 is a `hidden beast` number, since 4 + 26 + 8 + 532 + 96 = 666.

It is a super-3 number, since 3×4268532963 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1162905 + ... + 1163271.

Almost surely, 2426853296 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 426853296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616648032).

426853296 is an abundant number, since it is smaller than the sum of its proper divisors (806442768).

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

426853296 is a wasteful number, since it uses less digits than its factorization.

426853296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 610 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 426853296 is about 20660.4282627442. The cubic root of 426853296 is about 752.9385726836.

The spelling of 426853296 in words is "four hundred twenty-six million, eight hundred fifty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 197 246 328 367 369 394 492 591 656 734 738 788 984 1101 1182 1468 1476 1576 1773 1968 2202 2364 2936 2952 3152 3303 3546 4404 4728 5872 5904 6606 7092 8077 8808 9456 13212 14184 15047 16154 17616 24231 26424 28368 30094 32308 45141 48462 52848 60188 64616 72299 72693 90282 96924 120376 129232 135423 144598 145386 180564 193848 216897 240752 270846 289196 290772 361128 387696 433794 541692 578392 581544 650691 722256 867588 1083384 1156784 1163088 1301382 1735176 2166768 2602764 2964259 3470352 5205528 5928518 8892777 10411056 11857036 17785554 23714072 26678331 35571108 47428144 53356662 71142216 106713324 142284432 213426648 426853296