Search a number
-
+
473820040 = 23512979133
BaseRepresentation
bin11100001111011…
…110101110001000
31020000120112220101
4130033132232020
51432244220130
6115003335144
714512255351
oct3417365610
91200515811
10473820040
11223506011
121128214b4
1377219ab5
1446cdcd28
152b8e61ca
hex1c3deb88

473820040 has 32 divisors (see below), whose sum is σ = 1067033880. Its totient is φ = 189361152.

The previous prime is 473820037. The next prime is 473820041. The reversal of 473820040 is 40028374.

It can be written as a sum of positive squares in 4 ways, for example, as 472019076 + 1800964 = 21726^2 + 1342^2 .

It is a junction number, because it is equal to n+sod(n) for n = 473819990 and 473820008.

It is not an unprimeable number, because it can be changed into a prime (473820041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47314 + ... + 56446.

Almost surely, 2473820040 is an apocalyptic number.

473820040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

473820040 is an abundant number, since it is smaller than the sum of its proper divisors (593213840).

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

473820040 is a wasteful number, since it uses less digits than its factorization.

473820040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10441 (or 10437 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 473820040 is about 21767.4077464451. The cubic root of 473820040 is about 779.5987636130.

The spelling of 473820040 in words is "four hundred seventy-three million, eight hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1297 2594 5188 6485 9133 10376 12970 18266 25940 36532 45665 51880 73064 91330 182660 365320 11845501 23691002 47382004 59227505 94764008 118455010 236910020 473820040