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483854076 = 2232192311201
BaseRepresentation
bin11100110101110…
…000011011111100
31020201110100000100
4130311300123330
51442331312301
6120002401100
714663456166
oct3465603374
91221410010
10483854076
11229139802
12116060190
1379320cb4
1448391936
152c729286
hex1cd706fc

483854076 has 108 divisors (see below), whose sum is σ = 1333585344. Its totient is φ = 147744000.

The previous prime is 483854071. The next prime is 483854081. The reversal of 483854076 is 670458384.

483854076 is a `hidden beast` number, since 4 + 8 + 38 + 540 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (483854071) and next prime (483854081).

It is a super-2 number, since 2×4838540762 = 468229533723627552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483854071) 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 35 ways as a sum of consecutive naturals, for example, 402276 + ... + 403476.

Almost surely, 2483854076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483854076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666792672).

483854076 is an abundant number, since it is smaller than the sum of its proper divisors (849731268).

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

483854076 is a wasteful number, since it uses less digits than its factorization.

483854076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 483854076 is about 21996.6832954425. The cubic root of 483854076 is about 785.0635273889.

The spelling of 483854076 in words is "four hundred eighty-three million, eight hundred fifty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 342 361 372 558 589 684 722 1083 1116 1178 1201 1444 1767 2166 2356 2402 3249 3534 3603 4332 4804 5301 6498 7068 7206 10602 10809 11191 12996 14412 21204 21618 22382 22819 33573 37231 43236 44764 45638 67146 68457 74462 91276 100719 111693 134292 136914 148924 201438 205371 223386 273828 335079 402876 410742 433561 446772 670158 707389 821484 867122 1300683 1340316 1414778 1734244 2122167 2601366 2829556 3902049 4244334 5202732 6366501 7804098 8488668 12733002 13440391 15608196 25466004 26880782 40321173 53761564 80642346 120963519 161284692 241927038 483854076