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4076439136 = 2571173131173
BaseRepresentation
bin1111001011111001…
…1000011001100000
3101112002112120020021
43302332120121200
531322032023021
61512300123224
7203006106130
oct36276303140
911462476207
104076439136
111802053070
12959236514
134cc706083
142a9570ac0
1518cd23c41
hexf2f98660

4076439136 has 192 divisors, whose sum is σ = 10279374336. Its totient is φ = 1545523200.

The previous prime is 4076439119. The next prime is 4076439149. The reversal of 4076439136 is 6319346704.

4076439136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4076439092 and 4076439101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23563146 + ... + 23563318.

It is an arithmetic number, because the mean of its divisors is an integer number (53538408).

Almost surely, 24076439136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4076439136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139687168).

4076439136 is an abundant number, since it is smaller than the sum of its proper divisors (6202935200).

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

4076439136 is a wasteful number, since it uses less digits than its factorization.

4076439136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The square root of 4076439136 is about 63846.9978620765. The cubic root of 4076439136 is about 1597.4489472429.

The spelling of 4076439136 in words is "four billion, seventy-six million, four hundred thirty-nine thousand, one hundred thirty-six".