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426868820 = 225719383419
BaseRepresentation
bin11001011100011…
…000000001010100
31002202020011221022
4121130120001110
51333234300240
6110205140312
713402216340
oct3134300124
91082204838
10426868820
111a9a57954
12bab5a698
136a58b301
144099a620
152771e9b5
hex19718054

426868820 has 96 divisors (see below), whose sum is σ = 1083801600. Its totient is φ = 137960064.

The previous prime is 426868817. The next prime is 426868823. The reversal of 426868820 is 28868624.

It is an interprime number because it is at equal distance from previous prime (426868817) and next prime (426868823).

It is a super-3 number, since 3×4268688203 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426868823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1018571 + ... + 1018989.

It is an arithmetic number, because the mean of its divisors is an integer number (11289600).

Almost surely, 2426868820 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 426868820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541900800).

426868820 is an abundant number, since it is smaller than the sum of its proper divisors (656932780).

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

426868820 is a wasteful number, since it uses less digits than its factorization.

426868820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The square root of 426868820 is about 20660.8039533799. The cubic root of 426868820 is about 752.9477003135.

It can be divided in two parts, 42686 and 8820, that multiplied together give a triangular number (376490520 = T27440).

The spelling of 426868820 in words is "four hundred twenty-six million, eight hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 383 419 532 665 766 838 1330 1532 1676 1915 2095 2660 2681 2933 3830 4190 5362 5866 7277 7660 7961 8380 10724 11732 13405 14554 14665 15922 26810 29108 29330 31844 36385 39805 50939 53620 55727 58660 72770 79610 101878 111454 145540 159220 160477 203756 222908 254695 278635 320954 509390 557270 641908 802385 1018780 1114540 1123339 1604770 2246678 3049063 3209540 4493356 5616695 6098126 11233390 12196252 15245315 21343441 22466780 30490630 42686882 60981260 85373764 106717205 213434410 426868820