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4086295074 = 233436192843
BaseRepresentation
bin1111001110001111…
…1110101000100010
3101112210002022001000
43303203332220202
531332042420244
61513251252430
7203155635501
oct36343765042
911483068030
104086295074
111807674a74
129605aa116
135017771a4
142aa9b8838
1518db1e169
hexf38fea22

4086295074 has 64 divisors (see below), whose sum is σ = 9310118400. Its totient is φ = 1327805136.

The previous prime is 4086295033. The next prime is 4086295079. The reversal of 4086295074 is 4705926804.

It is a happy number.

4086295074 is a `hidden beast` number, since 40 + 86 + 29 + 507 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4086295079) 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, 1435897 + ... + 1438739.

It is an arithmetic number, because the mean of its divisors is an integer number (145470600).

Almost surely, 24086295074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4086295074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655059200).

4086295074 is an abundant number, since it is smaller than the sum of its proper divisors (5223823326).

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

4086295074 is a wasteful number, since it uses less digits than its factorization.

4086295074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3510 counting only the distinct ones).

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

The square root of 4086295074 is about 63924.1353011521. The cubic root of 4086295074 is about 1598.7353384182.

The spelling of 4086295074 in words is "four billion, eighty-six million, two hundred ninety-five thousand, seventy-four".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 619 774 1161 1238 1857 2322 2843 3714 5571 5686 8529 11142 16713 17058 25587 26617 33426 51174 53234 76761 79851 122249 153522 159702 239553 244498 366747 479106 718659 733494 1100241 1437318 1759817 2200482 3300723 3519634 5279451 6601446 10558902 15838353 31676706 47515059 75672131 95030118 151344262 227016393 454032786 681049179 1362098358 2043147537 4086295074