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485755452 = 2232713295113
BaseRepresentation
bin11100111101000…
…000101000111100
31020212000221012200
4130331000220330
51443323133302
6120111231500
715015565440
oct3475005074
91225027180
10485755452
1122a218296
12116818590
1379838580
1448728820
152c9a281c
hex1cf40a3c

485755452 has 144 divisors (see below), whose sum is σ = 1563656640. Its totient is φ = 123669504.

The previous prime is 485755451. The next prime is 485755471. The reversal of 485755452 is 254557584.

485755452 is a `hidden beast` number, since 48 + 5 + 7 + 554 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 485755398 and 485755407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485755451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92448 + ... + 97560.

Almost surely, 2485755452 is an apocalyptic number.

485755452 is a gapful number since it is divisible by the number (42) 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 485755452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781828320).

485755452 is an abundant number, since it is smaller than the sum of its proper divisors (1077901188).

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

485755452 is a wasteful number, since it uses less digits than its factorization.

485755452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172 (or 5167 counting only the distinct ones).

The product of its digits is 1120000, while the sum is 45.

The square root of 485755452 is about 22039.8605258745. The cubic root of 485755452 is about 786.0905243135.

The spelling of 485755452 in words is "four hundred eighty-five million, seven hundred fifty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 29 36 39 42 52 58 63 78 84 87 91 116 117 126 156 174 182 203 234 252 261 273 348 364 377 406 468 522 546 609 754 812 819 1044 1092 1131 1218 1508 1638 1827 2262 2436 2639 3276 3393 3654 4524 5113 5278 6786 7308 7917 10226 10556 13572 15339 15834 20452 23751 30678 31668 35791 46017 47502 61356 66469 71582 92034 95004 107373 132938 143164 148277 184068 199407 214746 265876 296554 322119 398814 429492 444831 465283 593108 598221 644238 797628 889662 930566 1037939 1196442 1288476 1334493 1395849 1779324 1861132 1927601 2075878 2392884 2668986 2791698 3113817 3855202 4151756 4187547 5337972 5583396 5782803 6227634 7710404 8375094 9341451 11565606 12455268 13493207 16750188 17348409 18682902 23131212 26986414 34696818 37365804 40479621 53972828 69393636 80959242 121438863 161918484 242877726 485755452