Search a number
-
+
4630305144 = 233536754331
BaseRepresentation
bin1000100111111110…
…01101100101111000
3102221200201212120010
410103333031211320
533440324231034
62043243301520
7222512641623
oct42377154570
912850655503
104630305144
111a66760873
12a9281a8a0
1358a39b13a
1431cd48dba
151c177c3e9
hex113fcd978

4630305144 has 64 divisors (see below), whose sum is σ = 11970426240. Its totient is φ = 1491684480.

The previous prime is 4630305143. The next prime is 4630305203. The reversal of 4630305144 is 4415030364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4630305143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58059 + ... + 112389.

It is an arithmetic number, because the mean of its divisors is an integer number (187037910).

Almost surely, 24630305144 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 4630305144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985213120).

4630305144 is an abundant number, since it is smaller than the sum of its proper divisors (7340121096).

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

4630305144 is a wasteful number, since it uses less digits than its factorization.

4630305144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54460 (or 54456 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 4630305144 is about 68046.3455594788. The cubic root of 4630305144 is about 1666.7477244488.

The spelling of 4630305144 in words is "four billion, six hundred thirty million, three hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 53 67 106 134 159 201 212 268 318 402 424 536 636 804 1272 1608 3551 7102 10653 14204 21306 28408 42612 54331 85224 108662 162993 217324 325986 434648 651972 1303944 2879543 3640177 5759086 7280354 8638629 10920531 11518172 14560708 17277258 21841062 23036344 29121416 34554516 43682124 69109032 87364248 192929381 385858762 578788143 771717524 1157576286 1543435048 2315152572 4630305144