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4700438505 = 34574633581
BaseRepresentation
bin1000110000010101…
…01111111111101001
3110010120201000110000
410120022233333221
534111303013010
62054230413213
7224324032230
oct43012577751
913116630400
104700438505
111aa2303024
12ab2201209
1359ba85579
143283a3b17
151c79d27c0
hex1182affe9

4700438505 has 80 divisors (see below), whose sum is σ = 9653174784. Its totient is φ = 2143532160.

The previous prime is 4700438503. The next prime is 4700438527. The reversal of 4700438505 is 5058340074.

It is not a de Polignac number, because 4700438505 - 21 = 4700438503 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4700438505.

It is not an unprimeable number, because it can be changed into a prime (4700438503) 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 79 ways as a sum of consecutive naturals, for example, 1310815 + ... + 1314395.

Almost surely, 24700438505 is an apocalyptic number.

4700438505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4700438505 is an abundant number, since it is smaller than the sum of its proper divisors (4952736279).

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

4700438505 is a wasteful number, since it uses less digits than its factorization.

4700438505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4700438505 is about 68559.7440558233. The cubic root of 4700438505 is about 1675.1207760243.

Adding to 4700438505 its reverse (5058340074), we get a palindrome (9758778579).

The spelling of 4700438505 in words is "four billion, seven hundred million, four hundred thirty-eight thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 463 567 945 1389 2315 2835 3241 3581 4167 6945 9723 10743 12501 16205 17905 20835 25067 29169 32229 37503 48615 53715 62505 75201 87507 96687 125335 145845 161145 187515 225603 262521 290061 376005 437535 483435 676809 1128015 1312605 1450305 1658003 2030427 3384045 4974009 8290015 10152135 11606021 14922027 24870045 34818063 44766081 58030105 74610135 104454189 134298243 174090315 223830405 313362567 522270945 671491215 940087701 1566812835 4700438505