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1052268282 = 2321373229269
BaseRepresentation
bin111110101110000…
…101011011111010
32201100000202201100
4332232011123322
54123340041112
6252225432230
735035063362
oct7656053372
92640022640
101052268282
1149aa8380a
1225449b676
1313a00ab70
149da759a2
15625a82dc
hex3eb856fa

1052268282 has 96 divisors (see below), whose sum is σ = 2509088400. Its totient is φ = 316763136.

The previous prime is 1052268251. The next prime is 1052268313. The reversal of 1052268282 is 2828622501.

It is an interprime number because it is at equal distance from previous prime (1052268251) and next prime (1052268313).

It can be written as a sum of positive squares in 8 ways, for example, as 356416641 + 695851641 = 18879^2 + 26379^2 .

It is a super-2 number, since 2×10522682822 = 2214537074606463048, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3911644 + ... + 3911912.

Almost surely, 21052268282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052268282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254544200).

1052268282 is an abundant number, since it is smaller than the sum of its proper divisors (1456820118).

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

1052268282 is a wasteful number, since it uses less digits than its factorization.

1052268282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1052268282 is about 32438.6849610153. The cubic root of 1052268282 is about 1017.1277267841.

The spelling of 1052268282 in words is "one billion, fifty-two million, two hundred sixty-eight thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 117 146 219 229 234 269 438 458 538 657 687 807 949 1314 1374 1614 1898 2061 2421 2847 2977 3497 4122 4842 5694 5954 6994 8541 8931 10491 16717 17082 17862 19637 20982 26793 31473 33434 39274 50151 53586 58911 61601 62946 100302 117822 123202 150453 176733 184803 217321 255281 300906 353466 369606 434642 510562 554409 651963 765843 800813 1108818 1303926 1531686 1601626 1955889 2297529 2402439 3911778 4496873 4595058 4804878 7207317 8993746 13490619 14414634 26981238 40471857 58459349 80943714 116918698 175378047 350756094 526134141 1052268282