Search a number
-
+
495560000 = 265413953
BaseRepresentation
bin11101100010011…
…010010101000000
31021112111001112002
4131202122111000
52003330410000
6121101323132
715165122225
oct3542322500
91245431462
10495560000
11234804621
12119b664a8
137b88c190
1449b5b94c
152d78c8d5
hex1d89a540

495560000 has 140 divisors (see below), whose sum is σ = 1324741572. Its totient is φ = 182784000.

The previous prime is 495559991. The next prime is 495560003. The reversal of 495560000 is 65594.

It can be written as a sum of positive squares in 10 ways, for example, as 461734144 + 33825856 = 21488^2 + 5816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495560003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 519524 + ... + 520476.

Almost surely, 2495560000 is an apocalyptic number.

495560000 is a gapful number since it is divisible by the number (40) 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 495560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662370786).

495560000 is an abundant number, since it is smaller than the sum of its proper divisors (829181572).

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

495560000 is an equidigital number, since it uses as much as digits as its factorization.

495560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 495560000 is about 22261.1769679862. The cubic root of 495560000 is about 791.3441838294.

The spelling of 495560000 in words is "four hundred ninety-five million, five hundred sixty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 625 650 800 832 953 1000 1040 1250 1300 1600 1625 1906 2000 2080 2500 2600 3250 3812 4000 4160 4765 5000 5200 6500 7624 8000 8125 9530 10000 10400 12389 13000 15248 16250 19060 20000 20800 23825 24778 26000 30496 32500 38120 40000 47650 49556 52000 60992 61945 65000 76240 95300 99112 104000 119125 123890 130000 152480 190600 198224 238250 247780 260000 304960 309725 381200 396448 476500 495560 520000 595625 619450 762400 792896 953000 991120 1191250 1238900 1524800 1548625 1906000 1982240 2382500 2477800 3097250 3812000 3964480 4765000 4955600 6194500 7624000 7743125 9530000 9911200 12389000 15486250 19060000 19822400 24778000 30972500 38120000 49556000 61945000 99112000 123890000 247780000 495560000