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411113472 = 2113711279
BaseRepresentation
bin11000100000010…
…001100000000000
31001122120201122220
4120200101200000
51320221112342
6104443331040
713121256360
oct3040214000
91048521586
10411113472
111a1076700
12b5820a80
1367232c13
143c8589a0
152615b5ec
hex18811800

411113472 has 288 divisors, whose sum is σ = 1394265600. Its totient is φ = 105431040.

The previous prime is 411113471. The next prime is 411113473. The reversal of 411113472 is 274311114.

It is an interprime number because it is at equal distance from previous prime (411113471) and next prime (411113473).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411113471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5203929 + ... + 5204007.

It is an arithmetic number, because the mean of its divisors is an integer number (4841200).

Almost surely, 2411113472 is an apocalyptic number.

411113472 is a gapful number since it is divisible by the number (42) 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 411113472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697132800).

411113472 is an abundant number, since it is smaller than the sum of its proper divisors (983152128).

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

411113472 is a wasteful number, since it uses less digits than its factorization.

411113472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 411113472 is about 20275.9333200719. The cubic root of 411113472 is about 743.5677915160.

Adding to 411113472 its reverse (274311114), we get a palindrome (685424586).

The spelling of 411113472 in words is "four hundred eleven million, one hundred thirteen thousand, four hundred seventy-two".