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426416620 = 225721922901
BaseRepresentation
bin11001011010101…
…001100111101100
31002201101012122011
4121122221213230
51333130312440
6110151331004
713365324100
oct3132514754
91081335564
10426416620
111a9779133
12ba980a64
136a460536
14408bd900
15276809ea
hex196a99ec

426416620 has 72 divisors (see below), whose sum is σ = 1096547760. Its totient is φ = 138499200.

The previous prime is 426416561. The next prime is 426416623. The reversal of 426416620 is 26614624.

It is a super-2 number, since 2×4264166202 = 363662267624448800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (426416623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7170 + ... + 30070.

It is an arithmetic number, because the mean of its divisors is an integer number (15229830).

Almost surely, 2426416620 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 426416620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548273880).

426416620 is an abundant number, since it is smaller than the sum of its proper divisors (670131140).

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

426416620 is a wasteful number, since it uses less digits than its factorization.

426416620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22943 (or 22934 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 426416620 is about 20649.8576266278. The cubic root of 426416620 is about 752.6817300402.

The spelling of 426416620 in words is "four hundred twenty-six million, four hundred sixteen thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 665 931 980 1330 1862 2660 3724 4655 9310 18620 22901 45802 91604 114505 160307 229010 320614 435119 458020 641228 801535 870238 1122149 1603070 1740476 2175595 2244298 3045833 3206140 4351190 4488596 5610745 6091666 8702380 11221490 12183332 15229165 21320831 22442980 30458330 42641662 60916660 85283324 106604155 213208310 426416620