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472163328 = 21032713563
BaseRepresentation
bin11100001001001…
…010010000000000
31012220110101022200
4130021022100000
51431333211303
6114504033200
714462215320
oct3411122000
91186411280
10472163328
1122258432a
12112162800
1376a899b0
14469cb280
152b6ba3a3
hex1c24a400

472163328 has 264 divisors, whose sum is σ = 1680963648. Its totient is φ = 124305408.

The previous prime is 472163323. The next prime is 472163353. The reversal of 472163328 is 823361274.

It is a happy number.

472163328 is a `hidden beast` number, since 472 + 163 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 472163292 and 472163301.

It is not an unprimeable number, because it can be changed into a prime (472163323) 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, 838375 + ... + 838937.

Almost surely, 2472163328 is an apocalyptic number.

472163328 is a gapful number since it is divisible by the number (48) 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 472163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840481824).

472163328 is an abundant number, since it is smaller than the sum of its proper divisors (1208800320).

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

472163328 is a wasteful number, since it uses less digits than its factorization.

472163328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 588 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 472163328 is about 21729.3195475606. The cubic root of 472163328 is about 778.6890800663.

The spelling of 472163328 in words is "four hundred seventy-two million, one hundred sixty-three thousand, three hundred twenty-eight".