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471943840 = 25510927061
BaseRepresentation
bin11100001000010…
…100101010100000
31012220001020020111
4130020110222200
51431304200330
6114455221104
714460312364
oct3410245240
91186036214
10471943840
11222444435
12112077794
1376a10b14
14469712a4
152b67532a
hex1c214aa0

471943840 has 48 divisors (see below), whose sum is σ = 1125237960. Its totient is φ = 187038720.

The previous prime is 471943819. The next prime is 471943841. The reversal of 471943840 is 48349174.

It can be written as a sum of positive squares in 4 ways, for example, as 331094416 + 140849424 = 18196^2 + 11868^2 .

It is a super-2 number, since 2×4719438402 = 445461976227891200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 471943793 and 471943802.

It is not an unprimeable number, because it can be changed into a prime (471943841) 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, 3910 + ... + 30970.

Almost surely, 2471943840 is an apocalyptic number.

471943840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471943840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562618980).

471943840 is an abundant number, since it is smaller than the sum of its proper divisors (653294120).

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

471943840 is a wasteful number, since it uses less digits than its factorization.

471943840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27185 (or 27177 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 471943840 is about 21724.2684571886. The cubic root of 471943840 is about 778.5684019105.

The spelling of 471943840 in words is "four hundred seventy-one million, nine hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 436 545 872 1090 1744 2180 3488 4360 8720 17440 27061 54122 108244 135305 216488 270610 432976 541220 865952 1082440 2164880 2949649 4329760 5899298 11798596 14748245 23597192 29496490 47194384 58992980 94388768 117985960 235971920 471943840