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672229440 = 26325415693
BaseRepresentation
bin101000000100010…
…110100001000000
31201211220210102200
4220010112201000
52334042320230
6150412113200
722441566411
oct5004264100
91654823380
10672229440
11315501a23
12169165800
13a93680cc
14653c9808
153e039160
hex28116840

672229440 has 168 divisors, whose sum is σ = 2369000088. Its totient is φ = 174858240.

The previous prime is 672229433. The next prime is 672229447. The reversal of 672229440 is 44922276.

It is an interprime number because it is at equal distance from previous prime (672229433) and next prime (672229447).

It can be written as a sum of positive squares in 4 ways, for example, as 20142144 + 652087296 = 4488^2 + 25536^2 .

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 = 672229395 and 672229404.

It is not an unprimeable number, because it can be changed into a prime (672229447) 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, 115234 + ... + 120926.

It is an arithmetic number, because the mean of its divisors is an integer number (14101191).

Almost surely, 2672229440 is an apocalyptic number.

672229440 is a gapful number since it is divisible by the number (60) 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 672229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184500044).

672229440 is an abundant number, since it is smaller than the sum of its proper divisors (1696770648).

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

672229440 is a wasteful number, since it uses less digits than its factorization.

672229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5757 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 672229440 is about 25927.3878360316. The cubic root of 672229440 is about 876.0035028321.

The spelling of 672229440 in words is "six hundred seventy-two million, two hundred twenty-nine thousand, four hundred forty".