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473668900 = 225223415023
BaseRepresentation
bin11100001110111…
…001110100100100
31020000021212120121
4130032321310210
51432224401100
6115000211324
714511055615
oct3416716444
91200255517
10473668900
11223412501
12112769b44
1377196073
1446c9dc0c
152b8b651a
hex1c3b9d24

473668900 has 72 divisors (see below), whose sum is σ = 1098929664. Its totient is φ = 176774400.

The previous prime is 473668829. The next prime is 473668907. The reversal of 473668900 is 9866374.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (473668907) 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, 91789 + ... + 96811.

It is an arithmetic number, because the mean of its divisors is an integer number (15262912).

Almost surely, 2473668900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473668900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549464832).

473668900 is an abundant number, since it is smaller than the sum of its proper divisors (625260764).

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

473668900 is a wasteful number, since it uses less digits than its factorization.

473668900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101 (or 5094 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 473668900 is about 21763.9357653895. The cubic root of 473668900 is about 779.5158621752.

The spelling of 473668900 in words is "four hundred seventy-three million, six hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 41 46 50 82 92 100 115 164 205 230 410 460 575 820 943 1025 1150 1886 2050 2300 3772 4100 4715 5023 9430 10046 18860 20092 23575 25115 47150 50230 94300 100460 115529 125575 205943 231058 251150 411886 462116 502300 577645 823772 1029715 1155290 2059430 2310580 2888225 4118860 4736689 5148575 5776450 9473378 10297150 11552900 18946756 20594300 23683445 47366890 94733780 118417225 236834450 473668900