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427475880 = 233551317199
BaseRepresentation
bin11001011110101…
…100001110101000
31002210101000200000
4121132230032220
51333413212010
6110230143000
713410325236
oct3136541650
91083330600
10427475880
111aa331a57
12bb1b1a60
136a741710
1440ab7956
15277de7c0
hex197ac3a8

427475880 has 384 divisors, whose sum is σ = 1651104000. Its totient is φ = 98537472.

The previous prime is 427475843. The next prime is 427475887. The reversal of 427475880 is 88574724.

427475880 is a `hidden beast` number, since 4 + 27 + 47 + 588 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (427475887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2148021 + ... + 2148219.

It is an arithmetic number, because the mean of its divisors is an integer number (4299750).

Almost surely, 2427475880 is an apocalyptic number.

427475880 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 427475880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552000).

427475880 is an abundant number, since it is smaller than the sum of its proper divisors (1223628120).

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

427475880 is a wasteful number, since it uses less digits than its factorization.

427475880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 427475880 is about 20675.4898370027. The cubic root of 427475880 is about 753.3044593488.

The spelling of 427475880 in words is "four hundred twenty-seven million, four hundred seventy-five thousand, eight hundred eighty".