Search a number
-
+
483361440 = 25353792657
BaseRepresentation
bin11100110011111…
…000001010100000
31020200112022020120
4130303320022200
51442220031230
6115544040240
714656335012
oct3463701240
91220468216
10483361440
11228932671
12115a63080
13791aa9b3
14482a41b2
152c67d310
hex1ccf82a0

483361440 has 96 divisors (see below), whose sum is σ = 1527180480. Its totient is φ = 128507904.

The previous prime is 483361381. The next prime is 483361447. The reversal of 483361440 is 44163384.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (483361447) 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 15 ways as a sum of consecutive naturals, for example, 180592 + ... + 183248.

It is an arithmetic number, because the mean of its divisors is an integer number (15908130).

Almost surely, 2483361440 is an apocalyptic number.

483361440 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 483361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763590240).

483361440 is an abundant number, since it is smaller than the sum of its proper divisors (1043819040).

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

483361440 is a wasteful number, since it uses less digits than its factorization.

483361440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 483361440 is about 21985.4824827658. The cubic root of 483361440 is about 784.7969994513.

The spelling of 483361440 in words is "four hundred eighty-three million, three hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 379 480 758 1137 1516 1895 2274 2657 3032 3790 4548 5314 5685 6064 7580 7971 9096 10628 11370 12128 13285 15160 15942 18192 21256 22740 26570 30320 31884 36384 39855 42512 45480 53140 60640 63768 79710 85024 90960 106280 127536 159420 181920 212560 255072 318840 425120 637680 1007003 1275360 2014006 3021009 4028012 5035015 6042018 8056024 10070030 12084036 15105045 16112048 20140060 24168072 30210090 32224096 40280120 48336144 60420180 80560240 96672288 120840360 161120480 241680720 483361440