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480735255 = 3571113101317
BaseRepresentation
bin11100101001110…
…111000000010111
31020111120212210110
4130221313000113
51441032012010
6115411454103
714625116340
oct3451670027
91214525713
10480735255
112273a9570
12114bb7333
137879b540
1447bbd0c7
152c310120
hex1ca77017

480735255 has 128 divisors (see below), whose sum is σ = 1046255616. Its totient is φ = 182016000.

The previous prime is 480735247. The next prime is 480735287. The reversal of 480735255 is 552537084.

It is not a de Polignac number, because 480735255 - 23 = 480735247 is a prime.

It is a super-3 number, since 3×4807352553 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1516357 + ... + 1516673.

It is an arithmetic number, because the mean of its divisors is an integer number (8173872).

Almost surely, 2480735255 is an apocalyptic number.

480735255 is an abundant number, since it is smaller than the sum of its proper divisors (565520361).

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

480735255 is a wasteful number, since it uses less digits than its factorization.

480735255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457.

The product of its (nonzero) digits is 168000, while the sum is 39.

The square root of 480735255 is about 21925.6757022446. The cubic root of 480735255 is about 783.3731056714.

The spelling of 480735255 in words is "four hundred eighty million, seven hundred thirty-five thousand, two hundred fifty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 101 105 143 165 195 231 273 303 317 385 429 455 505 707 715 951 1001 1111 1155 1313 1365 1515 1585 2121 2145 2219 3003 3333 3487 3535 3939 4121 4755 5005 5555 6565 6657 7777 9191 10461 10605 11095 12363 14443 15015 16665 17435 19695 20605 23331 24409 27573 28847 32017 33285 38885 43329 45331 45955 52305 61815 72215 73227 86541 96051 101101 116655 122045 135993 137865 144235 160085 216645 224119 226655 303303 317317 352187 366135 416221 432705 480255 505505 672357 679965 951951 1056561 1120595 1248663 1516515 1586585 1760935 2081105 2465309 2913547 3361785 4578431 4759755 5282805 6243315 7395927 8740641 12326545 13735293 14567735 22892155 32049017 36979635 43703205 68676465 96147051 160245085 480735255