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426059480 = 235711433217
BaseRepresentation
bin11001011001010…
…010011011011000
31002200201001201202
4121121102123120
51333032400410
6110135533332
713362305630
oct3131223330
91080631652
10426059480
111a9554880
12ba82a248
136a366b02
14408296c0
152760eca5
hex196526d8

426059480 has 128 divisors (see below), whose sum is σ = 1223354880. Its totient is φ = 129669120.

The previous prime is 426059479. The next prime is 426059497. The reversal of 426059480 is 84950624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130832 + ... + 134048.

It is an arithmetic number, because the mean of its divisors is an integer number (9557460).

Almost surely, 2426059480 is an apocalyptic number.

426059480 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 426059480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611677440).

426059480 is an abundant number, since it is smaller than the sum of its proper divisors (797295400).

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

426059480 is a wasteful number, since it uses less digits than its factorization.

426059480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 426059480 is about 20641.2082979655. The cubic root of 426059480 is about 752.4715382369.

The spelling of 426059480 in words is "four hundred twenty-six million, fifty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 43 44 55 56 70 77 86 88 110 140 154 172 215 220 280 301 308 344 385 430 440 473 602 616 770 860 946 1204 1505 1540 1720 1892 2365 2408 3010 3080 3217 3311 3784 4730 6020 6434 6622 9460 12040 12868 13244 16085 16555 18920 22519 25736 26488 32170 33110 35387 45038 64340 66220 70774 90076 112595 128680 132440 138331 141548 176935 180152 225190 247709 276662 283096 353870 450380 495418 553324 691655 707740 900760 968317 990836 1106648 1238545 1383310 1415480 1521641 1936634 1981672 2477090 2766620 3043282 3873268 4841585 4954180 5533240 6086564 7608205 7746536 9683170 9908360 10651487 12173128 15216410 19366340 21302974 30432820 38732680 42605948 53257435 60865640 85211896 106514870 213029740 426059480