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424141000 = 23531972153
BaseRepresentation
bin11001010001111…
…110000011001000
31002120002121001221
4121101332003020
51332040003000
6110030451424
713340065453
oct3121760310
91076077057
10424141000
111a8464458
12ba063b74
1369b4480a
144048a49a
152738161a
hex1947e0c8

424141000 has 64 divisors (see below), whose sum is σ = 997991280. Its totient is φ = 168716800.

The previous prime is 424140989. The next prime is 424141001. The reversal of 424141000 is 141424.

It can be written as a sum of positive squares in 8 ways, for example, as 25180324 + 398960676 = 5018^2 + 19974^2 .

It is not an unprimeable number, because it can be changed into a prime (424141001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 195924 + ... + 198076.

Almost surely, 2424141000 is an apocalyptic number.

424141000 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 424141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498995640).

424141000 is an abundant number, since it is smaller than the sum of its proper divisors (573850280).

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

424141000 is a wasteful number, since it uses less digits than its factorization.

424141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 424141000 is about 20594.6837800438. The cubic root of 424141000 is about 751.3404177613.

Adding to 424141000 its reverse (141424), we get a palindrome (424282424).

The spelling of 424141000 in words is "four hundred twenty-four million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 197 200 250 394 500 788 985 1000 1576 1970 2153 3940 4306 4925 7880 8612 9850 10765 17224 19700 21530 24625 39400 43060 49250 53825 86120 98500 107650 197000 215300 269125 424141 430600 538250 848282 1076500 1696564 2120705 2153000 3393128 4241410 8482820 10603525 16965640 21207050 42414100 53017625 84828200 106035250 212070500 424141000