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426811008 = 27313193443
BaseRepresentation
bin11001011100001…
…001111010000000
31002202010020122010
4121130021322000
51333230423013
6110204012520
713401555651
oct3134117200
91082106563
10426811008
111a9a18478
12bab31140
136a56abc0
1440983528
152770c7c3
hex19709e80

426811008 has 128 divisors (see below), whose sum is σ = 1230022080. Its totient is φ = 130351104.

The previous prime is 426810919. The next prime is 426811039. The reversal of 426811008 is 800118624.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 963235 + ... + 963677.

Almost surely, 2426811008 is an apocalyptic number.

426811008 is a gapful number since it is divisible by the number (48) 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 426811008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615011040).

426811008 is an abundant number, since it is smaller than the sum of its proper divisors (803211072).

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

426811008 is a wasteful number, since it uses less digits than its factorization.

426811008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 426811008 is about 20659.4048316983. The cubic root of 426811008 is about 752.9137075304.

The spelling of 426811008 in words is "four hundred twenty-six million, eight hundred eleven thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 193 208 312 384 386 416 443 579 624 772 832 886 1158 1248 1329 1544 1664 1772 2316 2496 2509 2658 3088 3544 4632 4992 5018 5316 5759 6176 7088 7527 9264 10036 10632 11518 12352 14176 15054 17277 18528 20072 21264 23036 24704 28352 30108 34554 37056 40144 42528 46072 56704 60216 69108 74112 80288 85056 85499 92144 120432 138216 160576 170112 170998 184288 240864 256497 276432 321152 341996 368576 481728 512994 552864 683992 737152 963456 1025988 1105728 1111487 1367984 2051976 2211456 2222974 2735968 3334461 4103952 4445948 5471936 6668922 8207904 8891896 10943872 13337844 16415808 17783792 26675688 32831616 35567584 53351376 71135168 106702752 142270336 213405504 426811008