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482804015281 = 7217258392
BaseRepresentation
bin1110000011010010101…
…11001010000010110001
31201011012102221011211121
413001221113022002301
530402240311442111
61005444101342241
746611222263200
oct7015127120261
91634172834747
10482804015281
11176835309685
12796a2107981
13366b3677ba3
14195214c9237
15c85b146871
hex70695ca0b1

482804015281 has 27 divisors (see below), whose sum is σ = 596711717739. Its totient is φ = 389422248768.

The previous prime is 482804015257. The next prime is 482804015297. The reversal of 482804015281 is 182510408284.

The square root of 482804015281 is 694841.

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., 375885479025 + 106918536256 = 613095^2 + 326984^2 .

It is not a de Polignac number, because 482804015281 - 219 = 482803490993 is a prime.

It is a super-3 number, since 3×4828040152813 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (482804015381) 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, 82683160 + ... + 82688998.

Almost surely, 2482804015281 is an apocalyptic number.

482804015281 is the 694841-st square number.

482804015281 is the 347421-st centered octagonal number.

It is an amenable number.

482804015281 is a deficient number, since it is larger than the sum of its proper divisors (113907702458).

482804015281 is an frugal number, since it uses more digits than its factorization.

482804015281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11726 (or 5863 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 43.

The spelling of 482804015281 in words is "four hundred eighty-two billion, eight hundred four million, fifteen thousand, two hundred eighty-one".

Divisors: 1 7 17 49 119 289 833 2023 5839 14161 40873 99263 286111 694841 1687471 4863887 11812297 34093921 82686079 238657447 579596657 1670602129 4057176599 9853143169 28400236193 68972002183 482804015281