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3986846240 = 255131916753
BaseRepresentation
bin1110110110100010…
…0111001000100000
3101021211221202212212
43231220213020200
531131113034430
61455335541252
7200540430266
oct35550471040
911254852785
103986846240
11176651a653
1293322a828
134b6c97520
1429b6cc436
15185027b95
hexeda27220

3986846240 has 48 divisors (see below), whose sum is σ = 10143462168. Its totient is φ = 1472065536.

The previous prime is 3986846231. The next prime is 3986846249. The reversal of 3986846240 is 426486893.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3986846231) and next prime (3986846249).

It can be written as a sum of positive squares in 4 ways, for example, as 1825340176 + 2161506064 = 42724^2 + 46492^2 .

It is a super-4 number, since 4×39868462404 (a number of 40 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (3986846249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 956297 + ... + 960456.

Almost surely, 23986846240 is an apocalyptic number.

It is an amenable number.

3986846240 is an abundant number, since it is smaller than the sum of its proper divisors (6156615928).

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

3986846240 is a wasteful number, since it uses less digits than its factorization.

3986846240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916781 (or 1916773 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 50.

The square root of 3986846240 is about 63141.4779681312. The cubic root of 3986846240 is about 1585.6591167823.

The spelling of 3986846240 in words is "three billion, nine hundred eighty-six million, eight hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 1916753 3833506 7667012 9583765 15334024 19167530 24917789 30668048 38335060 49835578 61336096 76670120 99671156 124588945 153340240 199342312 249177890 306680480 398684624 498355780 797369248 996711560 1993423120 3986846240