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4678128 = 2433721317
BaseRepresentation
bin10001110110000111110000
322210200012000
4101312013300
52144200003
6244134000
754522600
oct21660760
98720160
104678128
112705824
121697300
13c7a430
1489ac00
156261a3
hex4761f0

4678128 has 240 divisors, whose sum is σ = 17811360. Its totient is φ = 1161216.

The previous prime is 4678109. The next prime is 4678133. The reversal of 4678128 is 8218764.

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.

Its product of digits (21504) is a multiple of the sum of its prime divisors (42).

It is a junction number, because it is equal to n+sod(n) for n = 4678092 and 4678101.

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, 275176 + ... + 275192.

It is an arithmetic number, because the mean of its divisors is an integer number (74214).

Almost surely, 24678128 is an apocalyptic number.

4678128 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 4678128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905680).

4678128 is an abundant number, since it is smaller than the sum of its proper divisors (13133232).

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

4678128 is a wasteful number, since it uses less digits than its factorization.

4678128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 42 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 4678128 is about 2162.8980558501. The cubic root of 4678128 is about 167.2466266488.

The spelling of 4678128 in words is "four million, six hundred seventy-eight thousand, one hundred twenty-eight".