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426837460 = 225783109337
BaseRepresentation
bin11001011100010…
…000010111010100
31002202011120220211
4121130100113110
51333232244320
6110204335204
713402026040
oct3134202724
91082146824
10426837460
111a9a36335
12bab44504
136a579c5a
144098d020
152771555a
hex197105d4

426837460 has 96 divisors (see below), whose sum is σ = 1049368320. Its totient is φ = 142829568.

The previous prime is 426837443. The next prime is 426837487. The reversal of 426837460 is 64738624.

It is a happy number.

It is a super-3 number, since 3×4268374603 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1266412 + ... + 1266748.

It is an arithmetic number, because the mean of its divisors is an integer number (10930920).

Almost surely, 2426837460 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 426837460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524684160).

426837460 is an abundant number, since it is smaller than the sum of its proper divisors (622530860).

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

426837460 is a wasteful number, since it uses less digits than its factorization.

426837460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 426837460 is about 20660.0450144718. The cubic root of 426837460 is about 752.9292613794.

The spelling of 426837460 in words is "four hundred twenty-six million, eight hundred thirty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 109 140 166 218 332 337 415 436 545 581 674 763 830 1090 1162 1348 1526 1660 1685 2180 2324 2359 2905 3052 3370 3815 4718 5810 6740 7630 9047 9436 11620 11795 15260 18094 23590 27971 36188 36733 45235 47180 55942 63329 73466 90470 111884 126658 139855 146932 180940 183665 195797 253316 257131 279710 316645 367330 391594 514262 559420 633290 734660 783188 978985 1028524 1266580 1285655 1957970 2571310 3048839 3915940 5142620 6097678 12195356 15244195 21341873 30488390 42683746 60976780 85367492 106709365 213418730 426837460