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423947520 = 283552947
BaseRepresentation
bin11001010001001…
…110110100000000
31002112201202200000
4121101032310000
51332012310040
6110022400000
713335331413
oct3121166400
91075652600
10423947520
111a8342057
12b9b90000
1369aa7729
1440439b7a
1527344130
hex1944ed00

423947520 has 432 divisors, whose sum is σ = 1607074560. Its totient is φ = 106831872.

The previous prime is 423947519. The next prime is 423947561. The reversal of 423947520 is 25749324.

423947520 is a `hidden beast` number, since 42 + 3 + 94 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9020137 + ... + 9020183.

It is an arithmetic number, because the mean of its divisors is an integer number (3720080).

Almost surely, 2423947520 is an apocalyptic number.

423947520 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 423947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803537280).

423947520 is an abundant number, since it is smaller than the sum of its proper divisors (1183127040).

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

423947520 is an equidigital number, since it uses as much as digits as its factorization.

423947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 423947520 is about 20589.9859154881. The cubic root of 423947520 is about 751.2261543017.

The spelling of 423947520 in words is "four hundred twenty-three million, nine hundred forty-seven thousand, five hundred twenty".