Search a number
-
+
411015424 = 285330293
BaseRepresentation
bin11000011111111…
…001100100000000
31001122101202011111
4120133321210000
51320204443144
6104441253104
713120400461
oct3037714400
91048352144
10411015424
111a1009a76
12b5794194
13671ca3c1
143c830d68
152613c534
hex187f9900

411015424 has 36 divisors (see below), whose sum is σ = 835932636. Its totient is φ = 201623552.

The previous prime is 411015401. The next prime is 411015431. The reversal of 411015424 is 424510114.

It can be written as a sum of positive squares in 2 ways, for example, as 235929600 + 175085824 = 15360^2 + 13232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 411015395 and 411015404.

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 3 ways as a sum of consecutive naturals, for example, 1579 + ... + 28714.

It is an arithmetic number, because the mean of its divisors is an integer number (23220351).

Almost surely, 2411015424 is an apocalyptic number.

It is an amenable number.

411015424 is an abundant number, since it is smaller than the sum of its proper divisors (424917212).

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

411015424 is an equidigital number, since it uses as much as digits as its factorization.

411015424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30362 (or 30348 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 411015424 is about 20273.5153340510. The cubic root of 411015424 is about 743.5086747219.

Adding to 411015424 its reverse (424510114), we get a palindrome (835525538).

The spelling of 411015424 in words is "four hundred eleven million, fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 3392 6784 13568 30293 60586 121172 242344 484688 969376 1605529 1938752 3211058 3877504 6422116 7755008 12844232 25688464 51376928 102753856 205507712 411015424