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4531420440 = 2332523547273
BaseRepresentation
bin1000011100001011…
…11111110100011000
3102200210200000020200
410032011333310120
533240020423230
62025352022200
7220202303211
oct41605776430
912623600220
104531420440
111a15961278
12a65691960
13572a58191
1430db68408
151b7c48160
hex10e17fd18

4531420440 has 96 divisors (see below), whose sum is σ = 15367453920. Its totient is φ = 1155838464.

The previous prime is 4531420429. The next prime is 4531420459. The reversal of 4531420440 is 440241354.

It is a happy number.

4531420440 is a `hidden beast` number, since 453 + 1 + 4 + 204 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 265357 + ... + 281916.

It is an arithmetic number, because the mean of its divisors is an integer number (160077645).

Almost surely, 24531420440 is an apocalyptic number.

4531420440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4531420440 is an abundant number, since it is smaller than the sum of its proper divisors (10836033480).

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

4531420440 is a wasteful number, since it uses less digits than its factorization.

4531420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547313 (or 547306 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4531420440 is about 67315.8260738142. The cubic root of 4531420440 is about 1654.7972345242.

Adding to 4531420440 its reverse (440241354), we get a palindrome (4971661794).

The spelling of 4531420440 in words is "four billion, five hundred thirty-one million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 547273 1094546 1641819 2189092 2736365 3283638 4378184 4925457 5472730 6567276 8209095 9850914 10945460 12587279 13134552 16418190 19701828 21890920 24627285 25174558 32836380 37761837 39403656 49254570 50349116 62936395 65672760 75523674 98509140 100698232 113285511 125872790 151047348 188809185 197018280 226571022 251745580 302094696 377618370 453142044 503491160 566427555 755236740 906284088 1132855110 1510473480 2265710220 4531420440