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480722704 = 247113141307
BaseRepresentation
bin11100101001110…
…011111100010000
31020111120020120121
4130221303330100
51441031111304
6115411320024
714625034630
oct3451637420
91214506517
10480722704
112273a00a0
12114bb0014
1378795907
1447bb86c0
152c30b554
hex1ca73f10

480722704 has 160 divisors (see below), whose sum is σ = 1231921152. Its totient is φ = 176256000.

The previous prime is 480722689. The next prime is 480722713. The reversal of 480722704 is 407227084.

It is a super-3 number, since 3×4807227043 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480722704.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1565719 + ... + 1566025.

Almost surely, 2480722704 is an apocalyptic number.

480722704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480722704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615960576).

480722704 is an abundant number, since it is smaller than the sum of its proper divisors (751198448).

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

480722704 is a wasteful number, since it uses less digits than its factorization.

480722704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 480722704 is about 21925.3894834277. The cubic root of 480722704 is about 783.3662881966.

Adding to 480722704 its reverse (407227084), we get a palindrome (887949788).

It can be divided in two parts, 4 and 80722704, that added together give a palindrome (80722708).

The spelling of 480722704 in words is "four hundred eighty million, seven hundred twenty-two thousand, seven hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 41 44 56 62 77 82 88 112 124 154 164 176 217 248 287 307 308 328 341 434 451 496 574 614 616 656 682 868 902 1148 1228 1232 1271 1364 1736 1804 2149 2296 2387 2456 2542 2728 3157 3377 3472 3608 4298 4592 4774 4912 5084 5456 6314 6754 7216 8596 8897 9517 9548 10168 12587 12628 13508 13981 17192 17794 19034 19096 20336 23639 25174 25256 27016 27962 34384 35588 38068 38192 47278 50348 50512 54032 55924 66619 71176 76136 88109 94556 97867 100696 104687 111848 133238 138457 142352 152272 176218 189112 195734 201392 209374 223696 266476 276914 352436 378224 390197 391468 418748 532952 553828 704872 732809 780394 782936 837496 969199 1065904 1107656 1409744 1465618 1560788 1565872 1674992 1938398 2215312 2731379 2931236 3121576 3876796 4292167 5462758 5862472 6243152 7753592 8584334 10925516 11724944 15507184 17168668 21851032 30045169 34337336 43702064 60090338 68674672 120180676 240361352 480722704