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439694640 = 2432572112103
BaseRepresentation
bin11010001101010…
…011010100110000
31010122100210122200
4122031103110300
51400030212030
6111344103200
713616225400
oct3215232460
91118323580
10439694640
11206218100
12103304b00
137012c158
1442578800
1528904d60
hex1a353530

439694640 has 540 divisors, whose sum is σ = 1906409232. Its totient is φ = 90478080.

The previous prime is 439694627. The next prime is 439694641. The reversal of 439694640 is 46496934.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (439694641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4268829 + ... + 4268931.

Almost surely, 2439694640 is an apocalyptic number.

439694640 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 439694640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953204616).

439694640 is an abundant number, since it is smaller than the sum of its proper divisors (1466714592).

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

439694640 is a wasteful number, since it uses less digits than its factorization.

439694640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 439694640 is about 20968.8969666981. The cubic root of 439694640 is about 760.4145014996.

Adding to 439694640 its sum of digits (45), we get a triangular number (439694685 = T29654).

The spelling of 439694640 in words is "four hundred thirty-nine million, six hundred ninety-four thousand, six hundred forty".