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4442507244 = 2232712721093
BaseRepresentation
bin1000010001100101…
…10100011111101100
3102110121100202021100
410020302310133230
533044240212434
62012454203100
7215042455110
oct41062643754
912417322240
104442507244
11197a75249a
12a3b953490
1355a4c6b16
14302021740
151b0033699
hex108cb47ec

4442507244 has 108 divisors (see below), whose sum is σ = 12947595024. Its totient is φ = 1258141248.

The previous prime is 4442507233. The next prime is 4442507261. The reversal of 4442507244 is 4427052444.

It is a super-2 number, since 2×44425072442 = 39471741225984951072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4442507199 and 4442507208.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4063962 + ... + 4065054.

Almost surely, 24442507244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4442507244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6473797512).

4442507244 is an abundant number, since it is smaller than the sum of its proper divisors (8505087780).

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

4442507244 is a wasteful number, since it uses less digits than its factorization.

4442507244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 36.

The square root of 4442507244 is about 66652.1360797987. The cubic root of 4442507244 is about 1643.9024708158.

Adding to 4442507244 its reverse (4427052444), we get a palindrome (8869559688).

The spelling of 4442507244 in words is "four billion, four hundred forty-two million, five hundred seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 762 889 1093 1143 1524 1778 2186 2286 2667 3279 3556 4372 4572 5334 6558 7651 8001 9837 10668 13116 15302 16002 16129 19674 22953 30604 32004 32258 39348 45906 48387 64516 68859 91812 96774 112903 137718 138811 145161 193548 225806 275436 277622 290322 338709 416433 451612 555244 580644 677418 832866 971677 1016127 1249299 1354836 1665732 1943354 2032254 2498598 2915031 3886708 4064508 4997196 5830062 8745093 11660124 17490186 17628997 34980372 35257994 52886991 70515988 105773982 123402979 158660973 211547964 246805958 317321946 370208937 493611916 634643892 740417874 1110626811 1480835748 2221253622 4442507244