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4076381322 = 2331314474013
BaseRepresentation
bin1111001011111000…
…1010010010001010
3101112002102121221000
43302332022102022
531322023200242
61512254555430
7203005445436
oct36276122212
911462377830
104076381322
111802013692
12959208b76
134cc6b5970
142a95579c6
1518cd11a4c
hexf2f8a48a

4076381322 has 64 divisors (see below), whose sum is σ = 9764616960. Its totient is φ = 1253092032.

The previous prime is 4076381321. The next prime is 4076381339. The reversal of 4076381322 is 2231836704.

It is a happy number.

4076381322 is a `hidden beast` number, since 4 + 0 + 7 + 638 + 13 + 2 + 2 = 666.

4076381322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4076381321) 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, 1013788 + ... + 1017800.

It is an arithmetic number, because the mean of its divisors is an integer number (152572140).

Almost surely, 24076381322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4076381322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882308480).

4076381322 is an abundant number, since it is smaller than the sum of its proper divisors (5688235638).

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

4076381322 is a wasteful number, since it uses less digits than its factorization.

4076381322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5484 (or 5478 counting only the distinct ones).

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

The square root of 4076381322 is about 63846.5451062154. The cubic root of 4076381322 is about 1597.4413952801.

The spelling of 4076381322 in words is "four billion, seventy-six million, three hundred eighty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1447 2894 4013 4341 8026 8682 12039 13023 18811 24078 26046 36117 37622 39069 52169 56433 72234 78138 104338 108351 112866 156507 169299 216702 313014 338598 469521 507897 939042 1015794 1408563 2817126 5806811 11613622 17420433 34840866 52261299 75488543 104522598 150977086 156783897 226465629 313567794 452931258 679396887 1358793774 2038190661 4076381322