Search a number
-
+
426149080 = 23572415303
BaseRepresentation
bin11001011001101…
…000010011011000
31002200212121122021
4121121220103120
51333043232310
6110141504224
713363131100
oct3131502330
91080777567
10426149080
111a9606125
12ba872074
136a398826
1440850200
152762b5da
hex196684d8

426149080 has 96 divisors (see below), whose sum is σ = 1142799840. Its totient is φ = 142517760.

The previous prime is 426149069. The next prime is 426149093. The reversal of 426149080 is 80941624.

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 23 ways as a sum of consecutive naturals, for example, 77709 + ... + 83011.

It is an arithmetic number, because the mean of its divisors is an integer number (11904165).

Almost surely, 2426149080 is an apocalyptic number.

426149080 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 426149080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571399920).

426149080 is an abundant number, since it is smaller than the sum of its proper divisors (716650760).

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

426149080 is a wasteful number, since it uses less digits than its factorization.

426149080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5369 (or 5358 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 426149080 is about 20643.3785994444. The cubic root of 426149080 is about 752.5242826128.

The spelling of 426149080 in words is "four hundred twenty-six million, one hundred forty-nine thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 49 56 70 82 98 140 164 196 205 245 280 287 328 392 410 490 574 820 980 1148 1435 1640 1960 2009 2296 2870 4018 5303 5740 8036 10045 10606 11480 16072 20090 21212 26515 37121 40180 42424 53030 74242 80360 106060 148484 185605 212120 217423 259847 296968 371210 434846 519694 742420 869692 1039388 1087115 1299235 1484840 1521961 1739384 2078776 2174230 2598470 3043922 4348460 5196940 6087844 7609805 8696920 10393880 10653727 12175688 15219610 21307454 30439220 42614908 53268635 60878440 85229816 106537270 213074540 426149080