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3278249536 = 261724212
BaseRepresentation
bin1100001101100110…
…0001111001000000
322110110121022221111
43003121201321000
523203212441121
61301144133104
7144144442552
oct30331417100
98413538844
103278249536
111432539441
12775a67194
13403238233
142315574d2
15142c082e1
hexc3661e40

3278249536 has 63 divisors (see below), whose sum is σ = 6926902707. Its totient is φ = 1539041280.

The previous prime is 3278249521. The next prime is 3278249549. The reversal of 3278249536 is 6359428723.

The square root of 3278249536 is 57256.

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

It can be written as a sum of positive squares in 4 ways, for example, as 547560000 + 2730689536 = 23400^2 + 52256^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3278249536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7786606 + ... + 7787026.

Almost surely, 23278249536 is an apocalyptic number.

3278249536 is the 57256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3278249536

3278249536 is an abundant number, since it is smaller than the sum of its proper divisors (3648653171).

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

3278249536 is an frugal number, since it uses more digits than its factorization.

3278249536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 440 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 49.

The cubic root of 3278249536 is about 1485.5274097724.

Multiplying 3278249536 by its sum of digits (49), we get a square (160634227264 = 4007922).

The spelling of 3278249536 in words is "three billion, two hundred seventy-eight million, two hundred forty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 421 544 578 842 1088 1156 1684 2312 3368 4624 6736 7157 9248 13472 14314 18496 26944 28628 57256 114512 121669 177241 229024 243338 354482 458048 486676 708964 973352 1417928 1946704 2835856 3013097 3893408 5671712 6026194 7786816 11343424 12052388 24104776 48209552 51222649 96419104 102445298 192838208 204890596 409781192 819562384 1639124768 3278249536