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4644646240 = 255132233003
BaseRepresentation
bin1000101001101011…
…11010110101100000
3102222200201110211211
410110311322311200
534003012134430
62044514515504
7223045561453
oct42465726540
912880643754
104644646240
111a73866513
12a97595b94
1359034c8b0
14320bdd49a
151c2b6172a
hex114d7ad60

4644646240 has 48 divisors (see below), whose sum is σ = 11817057168. Its totient is φ = 1714945536.

The previous prime is 4644646217. The next prime is 4644646271. The reversal of 4644646240 is 426464464.

It is a happy number.

It is a super-2 number, since 2×46446462402 = 43145477389492275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4644646193 and 4644646202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1114422 + ... + 1118581.

It is an arithmetic number, because the mean of its divisors is an integer number (246188691).

Almost surely, 24644646240 is an apocalyptic number.

4644646240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4644646240 is an abundant number, since it is smaller than the sum of its proper divisors (7172410928).

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

4644646240 is a wasteful number, since it uses less digits than its factorization.

4644646240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233031 (or 2233023 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

The square root of 4644646240 is about 68151.6415062763. The cubic root of 4644646240 is about 1668.4667151066.

The spelling of 4644646240 in words is "four billion, six hundred forty-four million, six 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 2233003 4466006 8932012 11165015 17864024 22330030 29029039 35728048 44660060 58058078 71456096 89320120 116116156 145145195 178640240 232232312 290290390 357280480 464464624 580580780 928929248 1161161560 2322323120 4644646240