Search a number
-
+
483051744 = 253271912611
BaseRepresentation
bin11100110010101…
…100100011100000
31020122221120102100
4130302230203200
51442130123434
6115533250400
714653605060
oct3462544340
91218846370
10483051744
11228740a1a
12115933a00
13790cca46
14482233a0
152c61b699
hex1ccac8e0

483051744 has 144 divisors (see below), whose sum is σ = 1652676480. Its totient is φ = 130740480.

The previous prime is 483051721. The next prime is 483051749. The reversal of 483051744 is 447150384.

483051744 is a `hidden beast` number, since 483 + 0 + 5 + 174 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 483051699 and 483051708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483051749) by changing a digit.

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, 31999 + ... + 44609.

It is an arithmetic number, because the mean of its divisors is an integer number (11476920).

Almost surely, 2483051744 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 483051744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826338240).

483051744 is an abundant number, since it is smaller than the sum of its proper divisors (1169624736).

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

483051744 is a wasteful number, since it uses less digits than its factorization.

483051744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12653 (or 12642 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 483051744 is about 21978.4381610705. The cubic root of 483051744 is about 784.6293537394.

The spelling of 483051744 in words is "four hundred eighty-three million, fifty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12611 12768 19152 25222 37833 38304 50444 75666 88277 100888 113499 151332 176554 201776 226998 239609 264831 302664 353108 403552 453996 479218 529662 605328 706216 718827 794493 907992 958436 1059324 1210656 1412432 1437654 1588986 1677263 1815984 1916872 2118648 2156481 2824864 2875308 3177972 3354526 3631968 3833744 4237296 4312962 5031789 5750616 6355944 6709052 7667488 8474592 8625924 10063578 11501232 12711888 13418104 15095367 17251848 20127156 23002464 25423776 26836208 30190734 34503696 40254312 53672416 60381468 69007392 80508624 120762936 161017248 241525872 483051744