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484415440 = 2456055193
BaseRepresentation
bin11100110111111…
…001011111010000
31020202111212001121
4130313321133100
51443002243230
6120022412024
715001314625
oct3467713720
91222455047
10484415440
11229492543
12116291014
1379489672
144849a34c
152c7da77a
hex1cdf97d0

484415440 has 20 divisors (see below), whose sum is σ = 1126266084. Its totient is φ = 193766144.

The previous prime is 484415419. The next prime is 484415441. The reversal of 484415440 is 44514484.

It can be written as a sum of positive squares in 2 ways, for example, as 193098816 + 291316624 = 13896^2 + 17068^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 484415396 and 484415405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484415441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3027517 + ... + 3027676.

Almost surely, 2484415440 is an apocalyptic number.

484415440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

484415440 is an abundant number, since it is smaller than the sum of its proper divisors (641850644).

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

484415440 is a wasteful number, since it uses less digits than its factorization.

484415440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6055206 (or 6055200 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 34.

The square root of 484415440 is about 22009.4397929616. The cubic root of 484415440 is about 785.3670183922.

The spelling of 484415440 in words is "four hundred eighty-four million, four hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6055193 12110386 24220772 30275965 48441544 60551930 96883088 121103860 242207720 484415440