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475504484 = 2271321723257
BaseRepresentation
bin11100010101111…
…001111101100100
31020010202010112012
4130111321331210
51433212120414
6115103413352
714532502310
oct3425717544
91203663465
10475504484
11224456614
121132b4258
1377689700
144721ab40
152bb2a33e
hex1c579f64

475504484 has 144 divisors (see below), whose sum is σ = 1142201088. Its totient is φ = 168689664.

The previous prime is 475504481. The next prime is 475504493. The reversal of 475504484 is 484405574.

It is a super-2 number, since 2×4755044842 = 452209028608212512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (475504481) 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 47 ways as a sum of consecutive naturals, for example, 1850084 + ... + 1850340.

It is an arithmetic number, because the mean of its divisors is an integer number (7931952).

Almost surely, 2475504484 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 475504484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571100544).

475504484 is an abundant number, since it is smaller than the sum of its proper divisors (666696604).

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

475504484 is a wasteful number, since it uses less digits than its factorization.

475504484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 41.

The square root of 475504484 is about 21806.0653030298. The cubic root of 475504484 is about 780.5215031004.

The spelling of 475504484 in words is "four hundred seventy-five million, five hundred four thousand, four hundred eighty-four".

Divisors: 1 2 4 7 13 14 17 23 26 28 34 46 52 68 91 92 119 161 169 182 221 238 257 299 322 338 364 391 442 476 514 598 644 676 782 884 1028 1183 1196 1547 1564 1799 2093 2366 2737 2873 3094 3341 3598 3887 4186 4369 4732 5083 5474 5746 5911 6188 6682 7196 7774 8372 8738 10166 10948 11492 11822 13364 15548 17476 20111 20332 23387 23644 27209 30583 35581 40222 41377 43433 46774 54418 56797 61166 66079 71162 76843 80444 82754 86866 93548 100487 108836 113594 122332 132158 142324 153686 165508 173732 200974 227188 264316 304031 307372 397579 401948 462553 537901 608062 703409 738361 795158 925106 998959 1075802 1216124 1306331 1406818 1476722 1590316 1850212 1997918 2151604 2612662 2813636 2953444 3995836 5168527 5225324 6992713 9144317 10337054 13985426 16982303 18288634 20674108 27970852 33964606 36577268 67929212 118876121 237752242 475504484