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426254080 = 2857113421
BaseRepresentation
bin11001011010000…
…001111100000000
31002201001221200011
4121122001330000
51333110112310
6110144034304
713364046160
oct3132017400
91081057604
10426254080
111a9677aaa
12ba902994
136a404565
144087a5a0
152764c78a
hex19681f00

426254080 has 144 divisors (see below), whose sum is σ = 1179993024. Its totient is φ = 144506880.

The previous prime is 426254077. The next prime is 426254083. The reversal of 426254080 is 80452624.

It is an interprime number because it is at equal distance from previous prime (426254077) and next prime (426254083).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426254083) 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 15 ways as a sum of consecutive naturals, for example, 1012270 + ... + 1012690.

It is an arithmetic number, because the mean of its divisors is an integer number (8194396).

Almost surely, 2426254080 is an apocalyptic number.

426254080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589996512).

426254080 is an abundant number, since it is smaller than the sum of its proper divisors (753738944).

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

426254080 is a wasteful number, since it uses less digits than its factorization.

426254080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 426254080 is about 20645.9216311600. The cubic root of 426254080 is about 752.5860830208.

The spelling of 426254080 in words is "four hundred twenty-six million, two hundred fifty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 113 128 140 160 224 226 256 280 320 421 448 452 560 565 640 791 842 896 904 1120 1130 1280 1582 1684 1792 1808 2105 2240 2260 2947 3164 3368 3616 3955 4210 4480 4520 5894 6328 6736 7232 7910 8420 8960 9040 11788 12656 13472 14464 14735 15820 16840 18080 23576 25312 26944 28928 29470 31640 33680 36160 47152 47573 50624 53888 58940 63280 67360 72320 94304 95146 101248 107776 117880 126560 134720 144640 188608 190292 202496 235760 237865 253120 269440 333011 377216 380584 471520 475730 506240 538880 666022 754432 761168 943040 951460 1012480 1332044 1522336 1665055 1886080 1902920 2664088 3044672 3330110 3772160 3805840 5328176 6089344 6660220 7611680 10656352 12178688 13320440 15223360 21312704 26640880 30446720 42625408 53281760 60893440 85250816 106563520 213127040 426254080