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473964948 = 223228146853
BaseRepresentation
bin11100010000000…
…010000110010100
31020000211220200100
4130100002012110
51432313334243
6115010414100
714513431002
oct3420020624
91200756610
10473964948
112235a4976
12112891330
137726aa42
1446d39a72
152b9240d3
hex1c402194

473964948 has 36 divisors (see below), whose sum is σ = 1202367348. Its totient is φ = 157422720.

The previous prime is 473964941. The next prime is 473965007. The reversal of 473964948 is 849469374.

It is a happy number.

473964948 is a `hidden beast` number, since 473 + 96 + 49 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 242985744 + 230979204 = 15588^2 + 15198^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 473964894 and 473964903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473964941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13311 + ... + 33542.

It is an arithmetic number, because the mean of its divisors is an integer number (33399093).

Almost surely, 2473964948 is an apocalyptic number.

It is an amenable number.

473964948 is an abundant number, since it is smaller than the sum of its proper divisors (728402400).

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

473964948 is a wasteful number, since it uses less digits than its factorization.

473964948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47144 (or 47139 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 473964948 is about 21770.7360463536. The cubic root of 473964948 is about 779.6782301992.

The spelling of 473964948 in words is "four hundred seventy-three million, nine hundred sixty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 281 562 843 1124 1686 2529 3372 5058 10116 46853 93706 140559 187412 281118 421677 562236 843354 1686708 13165693 26331386 39497079 52662772 78994158 118491237 157988316 236982474 473964948