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4629870208 = 27792272017
BaseRepresentation
bin1000100111111011…
…00011011010000000
3102221122220202221101
410103331203122000
533440221321313
62043230104144
7222506150605
oct42375433200
912848822841
104629870208
111a66494017
12a9264b054
1358a278192
1431cc746ac
151c16e35dd
hex113f63680

4629870208 has 64 divisors (see below), whose sum is σ = 9386121600. Its totient is φ = 2274435072.

The previous prime is 4629870187. The next prime is 4629870209. The reversal of 4629870208 is 8020789264.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (4629870209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2294416 + ... + 2296432.

It is an arithmetic number, because the mean of its divisors is an integer number (146658150).

Almost surely, 24629870208 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 4629870208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693060800).

4629870208 is an abundant number, since it is smaller than the sum of its proper divisors (4756251392).

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

4629870208 is a wasteful number, since it uses less digits than its factorization.

4629870208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 4629870208 is about 68043.1496037625. The cubic root of 4629870208 is about 1666.6955355711.

The spelling of 4629870208 in words is "four billion, six hundred twenty-nine million, eight hundred seventy thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 79 128 158 227 316 454 632 908 1264 1816 2017 2528 3632 4034 5056 7264 8068 10112 14528 16136 17933 29056 32272 35866 64544 71732 129088 143464 159343 258176 286928 318686 457859 573856 637372 915718 1147712 1274744 1831436 2295424 2549488 3662872 5098976 7325744 10197952 14651488 20395904 29302976 36170861 58605952 72341722 144683444 289366888 578733776 1157467552 2314935104 4629870208