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483020384 = 25711271251
BaseRepresentation
bin11100110010100…
…100111001100000
31020122212222101212
4130302210321200
51442123123014
6115532445252
714653414460
oct3462447140
91218788355
10483020384
1122871a400
12115919828
13790bb6a2
1448215ba0
152c61223e
hex1cca4e60

483020384 has 144 divisors (see below), whose sum is σ = 1216228608. Its totient is φ = 184800000.

The previous prime is 483020383. The next prime is 483020389.

483020384 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 483020384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483020383) 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, 1924259 + ... + 1924509.

It is an arithmetic number, because the mean of its divisors is an integer number (8446032).

Almost surely, 2483020384 is an apocalyptic number.

483020384 is a gapful number since it is divisible by the number (44) 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 483020384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608114304).

483020384 is an abundant number, since it is smaller than the sum of its proper divisors (733208224).

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

483020384 is a wasteful number, since it uses less digits than its factorization.

483020384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 483020384 is about 21977.7247230008. The cubic root of 483020384 is about 784.6123738407.

The spelling of 483020384 in words is "four hundred eighty-three million, twenty thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 71 77 88 112 121 142 154 176 224 242 251 284 308 352 484 497 502 568 616 781 847 968 994 1004 1136 1232 1562 1694 1757 1936 1988 2008 2272 2464 2761 3124 3388 3514 3872 3976 4016 5467 5522 6248 6776 7028 7952 8032 8591 10934 11044 12496 13552 14056 15904 17182 17821 19327 21868 22088 24992 27104 28112 30371 34364 35642 38654 43736 44176 56224 60137 60742 68728 71284 77308 87472 88352 120274 121484 124747 137456 142568 154616 174944 196031 212597 240548 242968 249494 274912 285136 309232 392062 425194 481096 485936 498988 570272 618464 784124 850388 962192 971872 997976 1372217 1568248 1700776 1924384 1995952 2156341 2744434 3136496 3401552 3991904 4312682 5488868 6272992 6803104 8625364 10977736 15094387 17250728 21955472 30188774 34501456 43910944 60377548 69002912 120755096 241510192 483020384