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4821628320 = 253253348353
BaseRepresentation
bin1000111110110010…
…00011010110100000
3110110000202002121200
410133121003112200
534333314101240
62114240121200
7230325110265
oct43731032640
913400662550
104821628320
1120547577a3
12b26906200
135bac07c12
1433a50d26c
151d3470930
hex11f6435a0

4821628320 has 72 divisors (see below), whose sum is σ = 16453811556. Its totient is φ = 1285767168.

The previous prime is 4821628291. The next prime is 4821628381. The reversal of 4821628320 is 238261284.

4821628320 is a `hidden beast` number, since 4 + 8 + 2 + 1 + 628 + 3 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4360753296 + 460875024 = 66036^2 + 21468^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1672737 + ... + 1675616.

Almost surely, 24821628320 is an apocalyptic number.

4821628320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4821628320 is an abundant number, since it is smaller than the sum of its proper divisors (11632183236).

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

4821628320 is a wasteful number, since it uses less digits than its factorization.

4821628320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348374 (or 3348363 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4821628320 is about 69437.9458221512. The cubic root of 4821628320 is about 1689.3951501927.

The spelling of 4821628320 in words is "four billion, eight hundred twenty-one million, six hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3348353 6696706 10045059 13393412 16741765 20090118 26786824 30135177 33483530 40180236 50225295 53573648 60270354 66967060 80360472 100450590 107147296 120540708 133934120 150675885 160720944 200901180 241081416 267868240 301351770 321441888 401802360 482162832 535736480 602703540 803604720 964325664 1205407080 1607209440 2410814160 4821628320