Search a number
-
+
411242420 = 225373831451
BaseRepresentation
bin11000100000110…
…000111110110100
31001122211021112202
4120200300332310
51320234224140
6104450204032
713122334331
oct3040607664
91048737482
10411242420
111a1154576
12b5883618
1367279814
143c88d988
1526184915
hex18830fb4

411242420 has 48 divisors (see below), whose sum is σ = 889878528. Its totient is φ = 159523200.

The previous prime is 411242413. The next prime is 411242459. The reversal of 411242420 is 24242114.

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

It is a junction number, because it is equal to n+sod(n) for n = 411242392 and 411242401.

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 15 ways as a sum of consecutive naturals, for example, 282695 + ... + 284145.

It is an arithmetic number, because the mean of its divisors is an integer number (18539136).

Almost surely, 2411242420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444939264).

411242420 is an abundant number, since it is smaller than the sum of its proper divisors (478636108).

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

411242420 is a wasteful number, since it uses less digits than its factorization.

411242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 411242420 is about 20279.1128997301. The cubic root of 411242420 is about 743.6455247643.

Adding to 411242420 its reverse (24242114), we get a palindrome (435484534).

The spelling of 411242420 in words is "four hundred eleven million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 383 740 766 1451 1532 1915 2902 3830 5804 7255 7660 14171 14510 28342 29020 53687 56684 70855 107374 141710 214748 268435 283420 536870 555733 1073740 1111466 2222932 2778665 5557330 11114660 20562121 41124242 82248484 102810605 205621210 411242420