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4444202304 = 26327715629
BaseRepresentation
bin1000010001110010…
…10010010101000000
3102110201112212110100
410020321102111000
533100203433204
62012554402400
7215063045013
oct41071222500
912421485410
104444202304
1119806aaa73
12a40430400
1355a96b509
1430234337a
151b026aa39
hex108e52540

4444202304 has 42 divisors (see below), whose sum is σ = 12738505130. Its totient is φ = 1481400576.

The previous prime is 4444202299. The next prime is 4444202309. The reversal of 4444202304 is 4032024444.

It is a happy number.

4444202304 is a `hidden beast` number, since 4 + 4 + 4 + 420 + 230 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4444202299) and next prime (4444202309).

It can be written as a sum of positive squares in only one way, i.e., 3323291904 + 1120910400 = 57648^2 + 33480^2 .

It is a super-3 number, since 3×44442023043 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444202309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3857239 + ... + 3858390.

Almost surely, 24444202304 is an apocalyptic number.

It is an amenable number.

4444202304 is an abundant number, since it is smaller than the sum of its proper divisors (8294302826).

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

4444202304 is a wasteful number, since it uses less digits than its factorization.

4444202304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7715647 (or 7715634 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4444202304 is about 66664.8505885973. The cubic root of 4444202304 is about 1644.1115238603. Note that the first 3 decimals are identical.

Adding to 4444202304 its reverse (4032024444), we get a palindrome (8476226748).

The spelling of 4444202304 in words is "four billion, four hundred forty-four million, two hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 7715629 15431258 23146887 30862516 46293774 61725032 69440661 92587548 123450064 138881322 185175096 246900128 277762644 370350192 493800256 555525288 740700384 1111050576 1481400768 2222101152 4444202304