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672284448 = 253411171973
BaseRepresentation
bin101000000100100…
…011111100100000
31201212000120220000
4220010203330200
52334101100243
6150413220000
722442215653
oct5004437440
91655016800
10672284448
1131553a290
12169191600
13a9387164
146540189a
153e04a5d3
hex28123f20

672284448 has 480 divisors, whose sum is σ = 2436920640. Its totient is φ = 179159040.

The previous prime is 672284443. The next prime is 672284449. The reversal of 672284448 is 844482276.

It is not an unprimeable number, because it can be changed into a prime (672284443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9209340 + ... + 9209412.

It is an arithmetic number, because the mean of its divisors is an integer number (5076918).

Almost surely, 2672284448 is an apocalyptic number.

672284448 is a gapful number since it is divisible by the number (68) 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 672284448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218460320).

672284448 is an abundant number, since it is smaller than the sum of its proper divisors (1764636192).

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

672284448 is a wasteful number, since it uses less digits than its factorization.

672284448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 672284448 is about 25928.4486230858. The cubic root of 672284448 is about 876.0273964035.

The spelling of 672284448 in words is "six hundred seventy-two million, two hundred eighty-four thousand, four hundred forty-eight".