Search a number
-
+
6405217050 = 235280952783
BaseRepresentation
bin1011111011100011…
…11101101100011010
3121112101112201222010
411331301331230122
5101104213421200
62535330010350
7314504306121
oct57561755432
917471481863
106405217050
11279763a411
1212a91169b6
137b1015b7b
1444a970ab8
152774cc150
hex17dc7db1a

6405217050 has 48 divisors (see below), whose sum is σ = 15904874880. Its totient is φ = 1705914240.

The previous prime is 6405217009. The next prime is 6405217051. The reversal of 6405217050 is 507125046.

It is a super-2 number, since 2×64052170502 = 82053610915221405000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6405216999 and 6405217017.

It is not an unprimeable number, because it can be changed into a prime (6405217051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94959 + ... + 147741.

It is an arithmetic number, because the mean of its divisors is an integer number (331351560).

Almost surely, 26405217050 is an apocalyptic number.

6405217050 is an abundant number, since it is smaller than the sum of its proper divisors (9499657830).

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

6405217050 is a wasteful number, since it uses less digits than its factorization.

6405217050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53607 (or 53602 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 6405217050 is about 80032.5999202825. The cubic root of 6405217050 is about 1857.1398839485.

The spelling of 6405217050 in words is "six billion, four hundred five million, two hundred seventeen thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 809 1618 2427 4045 4854 8090 12135 20225 24270 40450 52783 60675 105566 121350 158349 263915 316698 527830 791745 1319575 1583490 2639150 3958725 7917450 42701447 85402894 128104341 213507235 256208682 427014470 640521705 1067536175 1281043410 2135072350 3202608525 6405217050