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485022240 = 253251719813
BaseRepresentation
bin11100111010001…
…101101000100000
31020210122200102200
4130322031220200
51443131202430
6120043413200
715006423003
oct3472155040
91223580380
10485022240
1122986742a
12116524200
137963c911
14485b753a
152c8aa460
hex1ce8da20

485022240 has 144 divisors (see below), whose sum is σ = 1752587928. Its totient is φ = 121724928.

The previous prime is 485022217. The next prime is 485022269. The reversal of 485022240 is 42220584.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 291589776 + 193432464 = 17076^2 + 13908^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14574 + ... + 34386.

Almost surely, 2485022240 is an apocalyptic number.

485022240 is a gapful number since it is divisible by the number (40) 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 485022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876293964).

485022240 is an abundant number, since it is smaller than the sum of its proper divisors (1267565688).

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

485022240 is a wasteful number, since it uses less digits than its factorization.

485022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19851 (or 19840 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 485022240 is about 22023.2204729463. The cubic root of 485022240 is about 785.6948099383.

The spelling of 485022240 in words is "four hundred eighty-five million, twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 19813 24480 39626 59439 79252 99065 118878 158504 178317 198130 237756 297195 317008 336821 356634 396260 475512 594390 634016 673642 713268 792520 891585 951024 1010463 1188780 1347284 1426536 1585040 1684105 1783170 1902048 2020926 2377560 2694568 2853072 3031389 3170080 3368210 3566340 4041852 4755120 5052315 5389136 5706144 6062778 6736420 7132680 8083704 9510240 10104630 10778272 12125556 13472840 14265360 15156945 16167408 20209260 24251112 26945680 28530720 30313890 32334816 40418520 48502224 53891360 60627780 80837040 97004448 121255560 161674080 242511120 485022240