Search a number
-
+
4024541000 = 23534024541
BaseRepresentation
bin1110111111100001…
…1001111101001000
3101101110212212101002
43233320121331020
531220240303000
61503203514132
7201506014454
oct35770317510
911343785332
104024541000
111785826247
12943988948
134c1a34a0c
142a2701664
151884c18d5
hexefe19f48

4024541000 has 32 divisors (see below), whose sum is σ = 9417428280. Its totient is φ = 1609816000.

The previous prime is 4024540999. The next prime is 4024541009. The reversal of 4024541000 is 1454204.

It can be written as a sum of positive squares in 4 ways, for example, as 1971182404 + 2053358596 = 44398^2 + 45314^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4024541009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2011271 + ... + 2013270.

Almost surely, 24024541000 is an apocalyptic number.

4024541000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4024541000 is an abundant number, since it is smaller than the sum of its proper divisors (5392887280).

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

4024541000 is a wasteful number, since it uses less digits than its factorization.

4024541000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024562 (or 4024548 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4024541000 is about 63439.2701723467. The cubic root of 4024541000 is about 1590.6408028480.

Adding to 4024541000 its reverse (1454204), we get a palindrome (4025995204).

The spelling of 4024541000 in words is "four billion, twenty-four million, five hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 4024541 8049082 16098164 20122705 32196328 40245410 80490820 100613525 160981640 201227050 402454100 503067625 804908200 1006135250 2012270500 4024541000