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426266880 = 2835138539
BaseRepresentation
bin11001011010000…
…101000100000000
31002201002121020020
4121122011010000
51333111020010
6110144213440
713364131404
oct3132050400
91081077206
10426266880
111a9686686
12ba90a280
136a40a330
1440881104
1527651470
hex19685100

426266880 has 144 divisors (see below), whose sum is σ = 1466283840. Its totient is φ = 104914944.

The previous prime is 426266879. The next prime is 426266887. The reversal of 426266880 is 88662624.

It is not an unprimeable number, because it can be changed into a prime (426266887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45651 + ... + 54189.

Almost surely, 2426266880 is an apocalyptic number.

426266880 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 426266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733141920).

426266880 is an abundant number, since it is smaller than the sum of its proper divisors (1040016960).

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

426266880 is a wasteful number, since it uses less digits than its factorization.

426266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8576 (or 8562 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 426266880 is about 20646.2316174163. The cubic root of 426266880 is about 752.5936160908.

The spelling of 426266880 in words is "four hundred twenty-six million, two hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 8539 9984 12480 16640 17078 24960 25617 34156 42695 49920 51234 68312 85390 102468 111007 128085 136624 170780 204936 222014 256170 273248 333021 341560 409872 444028 512340 546496 555035 666042 683120 819744 888056 1024680 1092992 1110070 1332084 1366240 1639488 1665105 1776112 2049360 2185984 2220140 2664168 2732480 3278976 3330210 3552224 4098720 4440280 5328336 5464960 6557952 6660420 7104448 8197440 8880560 10656672 10929920 13320840 14208896 16394880 17761120 21313344 26641680 28417792 32789760 35522240 42626688 53283360 71044480 85253376 106566720 142088960 213133440 426266880