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4073489280 = 273257313259
BaseRepresentation
bin1111001011001100…
…1000001110000000
3101111212222200210100
43302303020032000
531320303124110
61512113002400
7202642042020
oct36263101600
911455880710
104073489280
111800418873
12958253400
134cbc124b3
142a9003a80
1518c93ebc0
hexf2cc8380

4073489280 has 384 divisors, whose sum is σ = 16599398400. Its totient is φ = 900771840.

The previous prime is 4073489239. The next prime is 4073489281. The reversal of 4073489280 is 829843704.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4073489281) 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 47 ways as a sum of consecutive naturals, for example, 1248291 + ... + 1251549.

It is an arithmetic number, because the mean of its divisors is an integer number (43227600).

Almost surely, 24073489280 is an apocalyptic number.

4073489280 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 4073489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8299699200).

4073489280 is an abundant number, since it is smaller than the sum of its proper divisors (12525909120).

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

4073489280 is a wasteful number, since it uses less digits than its factorization.

4073489280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4073489280 is about 63823.8927048484. The cubic root of 4073489280 is about 1597.0635306811.

The spelling of 4073489280 in words is "four billion, seventy-three million, four hundred eighty-nine thousand, two hundred eighty".