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473920 = 2651481
BaseRepresentation
bin1110011101101000000
3220002002121
41303231000
5110131140
614054024
74012456
oct1635500
9802077
10473920
112a4077
121aa314
13137935
14c49d6
159564a
hex73b40

473920 has 28 divisors (see below), whose sum is σ = 1129284. Its totient is φ = 189440.

The previous prime is 473911. The next prime is 473923. The reversal of 473920 is 29374.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 287296 = 432^2 + 536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473923) by changing a digit.

473920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 421 + ... + 1060.

2473920 is an apocalyptic number.

473920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

473920 is an abundant number, since it is smaller than the sum of its proper divisors (655364).

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

473920 is a wasteful number, since it uses less digits than its factorization.

473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 473920 is about 688.4184773813. The cubic root of 473920 is about 77.9653582747.

The spelling of 473920 in words is "four hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1481 2962 5924 7405 11848 14810 23696 29620 47392 59240 94784 118480 236960 473920