Search a number
-
+
4379128 = 231324179
BaseRepresentation
bin10000101101000111111000
322020111000221
4100231013320
52110113003
6233505424
752136065
oct20550770
98214027
104379128
112521116
121572274
13ba4300
1481dc6c
155b77bd
hex42d1f8

4379128 has 48 divisors (see below), whose sum is σ = 9223200. Its totient is φ = 1946880.

The previous prime is 4379107. The next prime is 4379143. The reversal of 4379128 is 8219734.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 4379093 and 4379102.

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 11 ways as a sum of consecutive naturals, for example, 55393 + ... + 55471.

It is an arithmetic number, because the mean of its divisors is an integer number (192150).

Almost surely, 24379128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4379128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611600).

4379128 is an abundant number, since it is smaller than the sum of its proper divisors (4844072).

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

4379128 is a wasteful number, since it uses less digits than its factorization.

4379128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 4379128 is about 2092.6366144173. The cubic root of 4379128 is about 163.6047391935.

Subtracting 4379128 from its reverse (8219734), we obtain a triangular number (3840606 = T2771).

The spelling of 4379128 in words is "four million, three hundred seventy-nine thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 26 41 52 79 82 104 158 164 169 316 328 338 533 632 676 1027 1066 1352 2054 2132 3239 4108 4264 6478 6929 8216 12956 13351 13858 25912 26702 27716 42107 53404 55432 84214 106808 168428 336856 547391 1094782 2189564 4379128