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480636285 = 35291397949
BaseRepresentation
bin11100101001011…
…110110101111101
31020111101212000220
4130221132311331
51441020330120
6115405411553
714624224653
oct3451366575
91214355026
10480636285
11227341178
12114b69bb9
137876548c
1447b94dd3
152c2e0b40
hex1ca5ed7d

480636285 has 32 divisors (see below), whose sum is σ = 801360000. Its totient is φ = 245688576.

The previous prime is 480636283. The next prime is 480636287. The reversal of 480636285 is 582636084.

It is an interprime number because it is at equal distance from previous prime (480636283) and next prime (480636287).

It is not a de Polignac number, because 480636285 - 21 = 480636283 is a prime.

It is a super-3 number, since 3×4806362853 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480636281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56491 + ... + 64439.

It is an arithmetic number, because the mean of its divisors is an integer number (25042500).

Almost surely, 2480636285 is an apocalyptic number.

It is an amenable number.

480636285 is a deficient number, since it is larger than the sum of its proper divisors (320723715).

480636285 is a wasteful number, since it uses less digits than its factorization.

480636285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8125.

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 480636285 is about 21923.4186430858. The cubic root of 480636285 is about 783.3193437469.

The spelling of 480636285 in words is "four hundred eighty million, six hundred thirty-six thousand, two hundred eighty-five".

Divisors: 1 3 5 15 29 87 139 145 417 435 695 2085 4031 7949 12093 20155 23847 39745 60465 119235 230521 691563 1104911 1152605 3314733 3457815 5524555 16573665 32042419 96127257 160212095 480636285