[go: up one dir, main page]

Search a number
-
+
4540405212 = 2233710358309
BaseRepresentation
bin1000011101010000…
…10001010111011100
3102201102120111001000
410032220101113130
533244320431322
62030312350300
7220341543660
oct41650212734
912642514030
104540405212
111a1aa38702
12a686a5390
13574882905
143110268a0
151b89203ac
hex10ea115dc

4540405212 has 96 divisors (see below), whose sum is σ = 13583897600. Its totient is φ = 1284641856.

The previous prime is 4540405187. The next prime is 4540405223. The reversal of 4540405212 is 2125040454.

4540405212 is a `hidden beast` number, since 4 + 5 + 40 + 405 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48714 + ... + 107022.

Almost surely, 24540405212 is an apocalyptic number.

4540405212 is a gapful number since it is divisible by the number (42) 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 4540405212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6791948800).

4540405212 is an abundant number, since it is smaller than the sum of its proper divisors (9043492388).

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

4540405212 is a wasteful number, since it uses less digits than its factorization.

4540405212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58432 (or 58424 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 4540405212 is about 67382.5289819253. The cubic root of 4540405212 is about 1655.8902074867.

Adding to 4540405212 its reverse (2125040454), we get a palindrome (6665445666).

The spelling of 4540405212 in words is "four billion, five hundred forty million, four hundred five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 103 108 126 189 206 252 309 378 412 618 721 756 927 1236 1442 1854 2163 2781 2884 3708 4326 5562 6489 8652 11124 12978 19467 25956 38934 58309 77868 116618 174927 233236 349854 408163 524781 699708 816326 1049562 1224489 1574343 1632652 2099124 2448978 3148686 3673467 4897956 6005827 6297372 7346934 11020401 12011654 14693868 18017481 22040802 24023308 36034962 42040789 44081604 54052443 72069924 84081578 108104886 126122367 162157329 168163156 216209772 252244734 324314658 378367101 504489468 648629316 756734202 1135101303 1513468404 2270202606 4540405212