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426615816 = 2331117195003
BaseRepresentation
bin11001011011011…
…010010000001000
31002201202022212210
4121123122100020
51333203201231
6110155505120
713400113614
oct3133322010
91081668783
10426615816
111a98a4860
12baa581a0
136a5000c3
1440932344
15276bea46
hex196da408

426615816 has 128 divisors (see below), whose sum is σ = 1297036800. Its totient is φ = 115246080.

The previous prime is 426615743. The next prime is 426615817. The reversal of 426615816 is 618516624.

It is a happy number.

It is a super-2 number, since 2×4266158162 = 364002108922691712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (426615817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82771 + ... + 87773.

It is an arithmetic number, because the mean of its divisors is an integer number (10133100).

Almost surely, 2426615816 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 426615816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648518400).

426615816 is an abundant number, since it is smaller than the sum of its proper divisors (870420984).

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

426615816 is a wasteful number, since it uses less digits than its factorization.

426615816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059 (or 5055 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 426615816 is about 20654.6802444385. The cubic root of 426615816 is about 752.7989142232.

The spelling of 426615816 in words is "four hundred twenty-six million, six hundred fifteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 17 19 22 24 33 34 38 44 51 57 66 68 76 88 102 114 132 136 152 187 204 209 228 264 323 374 408 418 456 561 627 646 748 836 969 1122 1254 1292 1496 1672 1938 2244 2508 2584 3553 3876 4488 5003 5016 7106 7752 10006 10659 14212 15009 20012 21318 28424 30018 40024 42636 55033 60036 85051 85272 95057 110066 120072 165099 170102 190114 220132 255153 285171 330198 340204 380228 440264 510306 570342 660396 680408 760456 935561 1020612 1045627 1140684 1320792 1615969 1871122 2041224 2091254 2281368 2806683 3136881 3231938 3742244 4182508 4847907 5613366 6273762 6463876 7484488 8365016 9695814 11226732 12547524 12927752 17775659 19391628 22453464 25095048 35551318 38783256 53326977 71102636 106653954 142205272 213307908 426615816