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441152244 = 2234131761101
BaseRepresentation
bin11010010010110…
…111001011110100
31010202002212010000
4122102313023310
51400413332434
6111435231300
713634506101
oct3222671364
91122085100
10441152244
11207023235
121038a8530
137051c740
1442837aa8
1528ae1b99
hex1a4b72f4

441152244 has 240 divisors, whose sum is σ = 1349819856. Its totient is φ = 124416000.

The previous prime is 441152237. The next prime is 441152267. The reversal of 441152244 is 442251144.

441152244 is a `hidden beast` number, since 4 + 411 + 5 + 2 + 244 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1411344 + 439740900 = 1188^2 + 20970^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4367794 + ... + 4367894.

Almost surely, 2441152244 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 441152244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674909928).

441152244 is an abundant number, since it is smaller than the sum of its proper divisors (908667612).

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

441152244 is a wasteful number, since it uses less digits than its factorization.

441152244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 441152244 is about 21003.6245443495. The cubic root of 441152244 is about 761.2538421025.

The spelling of 441152244 in words is "four hundred forty-one million, one hundred fifty-two thousand, two hundred forty-four".