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426858750 = 23254191997
BaseRepresentation
bin11001011100010…
…101100011111110
31002202012200010100
4121130111203332
51333233440000
6110205021530
713402145103
oct3134254376
91082180110
10426858750
111a9a5032a
12bab548a6
136a586856
1440996aaa
152771ba00
hex197158fe

426858750 has 120 divisors (see below), whose sum is σ = 1217141640. Its totient is φ = 107784000.

The previous prime is 426858739. The next prime is 426858793. The reversal of 426858750 is 57858624.

426858750 is a `hidden beast` number, since 4 + 2 + 68 + 587 + 5 + 0 = 666.

It is a super-3 number, since 3×4268587503 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 426858696 and 426858705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 212752 + ... + 214748.

It is an arithmetic number, because the mean of its divisors is an integer number (10142847).

Almost surely, 2426858750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426858750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608570820).

426858750 is an abundant number, since it is smaller than the sum of its proper divisors (790282890).

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

426858750 is a wasteful number, since it uses less digits than its factorization.

426858750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 426858750 is about 20660.5602537782. The cubic root of 426858750 is about 752.9417794915.

The spelling of 426858750 in words is "four hundred twenty-six million, eight hundred fifty-eight thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 125 150 171 190 225 250 285 342 375 450 475 570 625 750 855 950 1125 1250 1425 1710 1875 1997 2250 2375 2850 3750 3994 4275 4750 5625 5991 7125 8550 9985 11250 11875 11982 14250 17973 19970 21375 23750 29955 35625 35946 37943 42750 49925 59910 71250 75886 89865 99850 106875 113829 149775 179730 189715 213750 227658 249625 299550 341487 379430 449325 499250 569145 682974 748875 898650 948575 1138290 1248125 1497750 1707435 1897150 2246625 2496250 2845725 3414870 3744375 4493250 4742875 5691450 7488750 8537175 9485750 11233125 14228625 17074350 22466250 23714375 28457250 42685875 47428750 71143125 85371750 142286250 213429375 426858750