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3780282256 = 241928092
BaseRepresentation
bin1110000101010010…
…1000011110010000
3100202110021020100221
43201110220132100
530220223013011
61423040322424
7162451604032
oct34124503620
910673236327
103780282256
11166a964013
12896013414
1348325260a
1427c0bbc52
15171d23971
hexe1528790

3780282256 has 45 divisors (see below), whose sum is σ = 7739642001. Its totient is φ = 1788446592.

The previous prime is 3780282229. The next prime is 3780282257. The reversal of 3780282256 is 6522820873.

The square root of 3780282256 is 61484.

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., 3327443856 + 452838400 = 57684^2 + 21280^2 .

It is not an unprimeable number, because it can be changed into a prime (3780282257) by changing a digit.

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, 4672380 + ... + 4673188.

Almost surely, 23780282256 is an apocalyptic number.

3780282256 is the 61484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3780282256

3780282256 is an abundant number, since it is smaller than the sum of its proper divisors (3959359745).

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

3780282256 is an frugal number, since it uses more digits than its factorization.

3780282256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The cubic root of 3780282256 is about 1557.7870024108.

The spelling of 3780282256 in words is "three billion, seven hundred eighty million, two hundred eighty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 809 1444 1618 2888 3236 5776 6472 12944 15371 30742 61484 122968 245936 292049 584098 654481 1168196 1308962 2336392 2617924 4672784 5235848 10471696 12435139 24870278 49740556 99481112 198962224 236267641 472535282 945070564 1890141128 3780282256