Search a number
-
+
4045085460 = 2233513576223
BaseRepresentation
bin1111000100011011…
…0001101100010100
3101102220112122002000
43301012301230110
531241020213320
61505220115300
7202145442033
oct36106615424
911386478060
104045085460
111796388639
1294a835b30
134c6078bc0
142a532c71a
1518a1cdc90
hexf11b1b14

4045085460 has 96 divisors (see below), whose sum is σ = 13552788480. Its totient is φ = 995711616.

The previous prime is 4045085449. The next prime is 4045085483. The reversal of 4045085460 is 645805404.

4045085460 is a `hidden beast` number, since 40 + 4 + 508 + 54 + 60 = 666.

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

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, 281092 + ... + 295131.

It is an arithmetic number, because the mean of its divisors is an integer number (141174880).

Almost surely, 24045085460 is an apocalyptic number.

It is an amenable number.

4045085460 is an abundant number, since it is smaller than the sum of its proper divisors (9507703020).

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

4045085460 is a wasteful number, since it uses less digits than its factorization.

4045085460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576254 (or 576246 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4045085460 is about 63600.9863131068. The cubic root of 4045085460 is about 1593.3428424277.

The spelling of 4045085460 in words is "four billion, forty-five million, eighty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 576223 1152446 1728669 2304892 2881115 3457338 5186007 5762230 6914676 7490899 8643345 10372014 11524460 14981798 15558021 17286690 20744028 22472697 25930035 29963596 31116042 34573380 37454495 44945394 51860070 62232084 67418091 74908990 77790105 89890788 103720140 112363485 134836182 149817980 155580210 202254273 224726970 269672364 311160420 337090455 404508546 449453940 674180910 809017092 1011271365 1348361820 2022542730 4045085460