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4064098752 = 26337794253
BaseRepresentation
bin1111001000111101…
…0011100111000000
3101111020022121102000
43302033103213000
531310402130002
61511135424000
7202466161260
oct36217234700
911436277360
104064098752
1117a60945aa
12955085000
134c9ca517c
142a7a7b7a0
1518bbd761c
hexf23d39c0

4064098752 has 224 divisors, whose sum is σ = 13830604800. Its totient is φ = 1146203136.

The previous prime is 4064098751. The next prime is 4064098811. The reversal of 4064098752 is 2578904604.

It is a happy number.

4064098752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 4064098698 and 4064098707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064098751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 953458 + ... + 957710.

Almost surely, 24064098752 is an apocalyptic number.

4064098752 is a gapful number since it is divisible by the number (42) 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 4064098752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6915302400).

4064098752 is an abundant number, since it is smaller than the sum of its proper divisors (9766506048).

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

4064098752 is a wasteful number, since it uses less digits than its factorization.

4064098752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4064098752 is about 63750.2843287777. The cubic root of 4064098752 is about 1595.8353609353.

The spelling of 4064098752 in words is "four billion, sixty-four million, ninety-eight thousand, seven hundred fifty-two".