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426402336 = 253231131709
BaseRepresentation
bin11001011010100…
…110001000100000
31002201100111001010
4121122212020200
51333124333321
6110151140520
713365234333
oct3132461040
91081314033
10426402336
111a9769428
12ba974740
136a456b99
14408b861a
152767b676
hex196a6220

426402336 has 96 divisors (see below), whose sum is σ = 1178997120. Its totient is φ = 134672384.

The previous prime is 426402329. The next prime is 426402371. The reversal of 426402336 is 633204624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 248650 + ... + 250358.

It is an arithmetic number, because the mean of its divisors is an integer number (12281220).

Almost surely, 2426402336 is an apocalyptic number.

426402336 is a gapful number since it is divisible by the number (46) 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 426402336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589498560).

426402336 is an abundant number, since it is smaller than the sum of its proper divisors (752594784).

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

426402336 is a wasteful number, since it uses less digits than its factorization.

426402336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 426402336 is about 20649.5117617826. The cubic root of 426402336 is about 752.6733255633.

The spelling of 426402336 in words is "four hundred twenty-six million, four hundred two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 113 138 184 226 276 339 368 452 552 678 736 904 1104 1356 1709 1808 2208 2599 2712 3418 3616 5127 5198 5424 6836 7797 10254 10396 10848 13672 15594 20508 20792 27344 31188 39307 41016 41584 54688 62376 78614 82032 83168 117921 124752 157228 164064 193117 235842 249504 314456 386234 471684 579351 628912 772468 943368 1158702 1257824 1544936 1886736 2317404 3089872 3773472 4441691 4634808 6179744 8883382 9269616 13325073 17766764 18539232 26650146 35533528 53300292 71067056 106600584 142134112 213201168 426402336