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471817040 = 24513743049
BaseRepresentation
bin11100000111110…
…101101101010000
31012212210210022012
4130013311231100
51431241121130
6114452402052
714456243612
oct3407655520
91185723265
10471817040
11222368142
12112016328
13769981a6
144693adb2
152b64c995
hex1c1f5b50

471817040 has 40 divisors (see below), whose sum is σ = 1105007400. Its totient is φ = 187344896.

The previous prime is 471817039. The next prime is 471817043. The reversal of 471817040 is 40718174.

It can be written as a sum of positive squares in 4 ways, for example, as 151979584 + 319837456 = 12328^2 + 17884^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4718170402 = 445222638468723200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 471816988 and 471817006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471817043) 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, 10565 + ... + 32484.

It is an arithmetic number, because the mean of its divisors is an integer number (27625185).

Almost surely, 2471817040 is an apocalyptic number.

471817040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

471817040 is an abundant number, since it is smaller than the sum of its proper divisors (633190360).

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

471817040 is a wasteful number, since it uses less digits than its factorization.

471817040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43199 (or 43193 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 471817040 is about 21721.3498659729. The cubic root of 471817040 is about 778.4986681076.

The spelling of 471817040 in words is "four hundred seventy-one million, eight hundred seventeen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 43049 86098 172196 215245 344392 430490 688784 860980 1721960 3443920 5897713 11795426 23590852 29488565 47181704 58977130 94363408 117954260 235908520 471817040