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3568628644 = 22721722512
BaseRepresentation
bin1101010010110100…
…1111001110100100
3100012201000010012021
43110231033032210
524302032104034
61350040032524
7154301562100
oct32455171644
910181003167
103568628644
111571441579
12837162744
1344b447ba9
1425bd44900
1515d4666b4
hexd4b4f3a4

3568628644 has 81 divisors (see below), whose sum is σ = 7748049729. Its totient is φ = 1433712000.

The previous prime is 3568628597. The next prime is 3568628647. The reversal of 3568628644 is 4468268653.

3568628644 = 1972 + 1982 + ... + 22042.

The square root of 3568628644 is 59738.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2778344100 + 790284544 = 52710^2 + 28112^2 .

It is a super-2 number, since 2×35686286442 = 25470220797554557472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3568628591 and 3568628600.

It is not an unprimeable number, because it can be changed into a prime (3568628647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14217519 + ... + 14217769.

Almost surely, 23568628644 is an apocalyptic number.

3568628644 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3568628644 is the 59738-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3568628644

3568628644 is an abundant number, since it is smaller than the sum of its proper divisors (4179421085).

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

3568628644 is a wasteful number, since it uses less digits than its factorization.

3568628644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 277 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 52.

The cubic root of 3568628644 is about 1528.1539875922.

The spelling of 3568628644 in words is "three billion, five hundred sixty-eight million, six hundred twenty-eight thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 251 289 476 502 578 833 1004 1156 1666 1757 2023 3332 3514 4046 4267 7028 8092 8534 12299 14161 17068 24598 28322 29869 49196 56644 59738 63001 72539 119476 126002 145078 209083 252004 290156 418166 441007 507773 836332 882014 1015546 1071017 1764028 2031092 2142034 3087049 3554411 4284068 6174098 7108822 7497119 12348196 14217644 14994238 18207289 29988476 36414578 52479833 72829156 104959666 127451023 209919332 254902046 509804092 892157161 1784314322 3568628644