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382056263449 = 72883012
BaseRepresentation
bin1011000111101000101…
…00111110111100011001
31100112011011021002220121
411203310110332330121
522224422400412244
6451303023353241
736413465441200
oct5436424767431
91315134232817
10382056263449
11138035889563
1262065a52821
132a048c7a053
14146c5020237
159e11455c84
hex58f453ef19

382056263449 has 9 divisors (see below), whose sum is σ = 444437829471. Its totient is φ = 327473088600.

The previous prime is 382056263423. The next prime is 382056263509. The reversal of 382056263449 is 944362650283.

The square root of 382056263449 is 618107.

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., 187451763849 + 194604499600 = 432957^2 + 441140^2 .

It is not a de Polignac number, because 382056263449 - 25 = 382056263417 is a prime.

It is a super-2 number, since 2×3820562634492 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 382056263396 and 382056263405.

It is not an unprimeable number, because it can be changed into a prime (382056243449) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4282599 + ... + 4370899.

Almost surely, 2382056263449 is an apocalyptic number.

382056263449 is the 618107-th square number.

382056263449 is the 309054-th centered octagonal number.

It is an amenable number.

382056263449 is a deficient number, since it is larger than the sum of its proper divisors (62381566022).

382056263449 is an frugal number, since it uses more digits than its factorization.

382056263449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176616 (or 88308 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 52.

The spelling of 382056263449 in words is "three hundred eighty-two billion, fifty-six million, two hundred sixty-three thousand, four hundred forty-nine".

Divisors: 1 7 49 88301 618107 4326749 7797066601 54579466207 382056263449