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472881888 = 253729233
BaseRepresentation
bin11100001011111…
…001101011100000
31012221210220000000
4130023321223200
51432024210023
6114531300000
714501300253
oct3413715340
91187726000
10472881888
11222a25186
1211244a600
1376c7ba8b
1446b3709a
152b7ad243
hex1c2f9ae0

472881888 has 192 divisors, whose sum is σ = 1450612800. Its totient is φ = 151538688.

The previous prime is 472881883. The next prime is 472881889. The reversal of 472881888 is 888188274.

472881888 is a `hidden beast` number, since 472 + 88 + 18 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472881883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2029420 + ... + 2029652.

It is an arithmetic number, because the mean of its divisors is an integer number (7555275).

Almost surely, 2472881888 is an apocalyptic number.

472881888 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 472881888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725306400).

472881888 is an abundant number, since it is smaller than the sum of its proper divisors (977730912).

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

472881888 is an equidigital number, since it uses as much as digits as its factorization.

472881888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 267 counting only the distinct ones).

The product of its digits is 1835008, while the sum is 54.

The square root of 472881888 is about 21745.8476036231. The cubic root of 472881888 is about 779.0838948757.

The spelling of 472881888 in words is "four hundred seventy-two million, eight hundred eighty-one thousand, eight hundred eighty-eight".