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484165440 = 2632511172931
BaseRepresentation
bin11100110110111…
…100011101000000
31020202001011010100
4130312330131000
51442421243230
6120013202400
714666224023
oct3466743500
91222034110
10484165440
11229331730
12116190400
13793cc935
14484331ba
152c78b660
hex1cdbc740

484165440 has 672 divisors, whose sum is σ = 2054108160. Its totient is φ = 103219200.

The previous prime is 484165439. The next prime is 484165447. The reversal of 484165440 is 44561484.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 484165395 and 484165404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484165447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15618225 + ... + 15618255.

Almost surely, 2484165440 is an apocalyptic number.

484165440 is a gapful number since it is divisible by the number (40) 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 484165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027054080).

484165440 is an abundant number, since it is smaller than the sum of its proper divisors (1569942720).

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

484165440 is a wasteful number, since it uses less digits than its factorization.

484165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 484165440 is about 22003.7596787458. The cubic root of 484165440 is about 785.2318895169.

The spelling of 484165440 in words is "four hundred eighty-four million, one hundred sixty-five thousand, four hundred forty".