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475020288 = 210352383
BaseRepresentation
bin11100010100000…
…011110000000000
31020002211112100000
4130110003300000
51433101122123
6115045200000
714525414541
oct3424036000
91202745300
10475020288
11224155856
12113100000
137754a1c2
14471324c8
152ba81b43
hex1c503c00

475020288 has 264 divisors, whose sum is σ = 1502137728. Its totient is φ = 149630976.

The previous prime is 475020281. The next prime is 475020289. The reversal of 475020288 is 882020574.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475020281) 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, 5723095 + ... + 5723177.

Almost surely, 2475020288 is an apocalyptic number.

475020288 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 475020288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751068864).

475020288 is an abundant number, since it is smaller than the sum of its proper divisors (1027117440).

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

475020288 is an equidigital number, since it uses as much as digits as its factorization.

475020288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 475020288 is about 21794.9601513744. The cubic root of 475020288 is about 780.2564836998.

The spelling of 475020288 in words is "four hundred seventy-five million, twenty thousand, two hundred eighty-eight".