Search a number
-
+
4278816 = 253283179
BaseRepresentation
bin10000010100101000100000
322001101102200
4100110220200
52043410231
6231413200
751240453
oct20245040
98041380
104278816
112462813
121524200
13b6a759
147d549a
15597be6
hex414a20

4278816 has 72 divisors (see below), whose sum is σ = 12383280. Its totient is φ = 1401216.

The previous prime is 4278773. The next prime is 4278829. The reversal of 4278816 is 6188724.

4278816 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23815 + ... + 23993.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 24278816 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 4278816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640).

4278816 is an abundant number, since it is smaller than the sum of its proper divisors (8104464).

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

4278816 is a wasteful number, since it uses less digits than its factorization.

4278816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 267 counting only the distinct ones).

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

The square root of 4278816 is about 2068.5299127641. The cubic root of 4278816 is about 162.3458546149.

The spelling of 4278816 in words is "four million, two hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 179 249 288 332 358 498 537 664 716 747 996 1074 1328 1432 1494 1611 1992 2148 2656 2864 2988 3222 3984 4296 5728 5976 6444 7968 8592 11952 12888 14857 17184 23904 25776 29714 44571 51552 59428 89142 118856 133713 178284 237712 267426 356568 475424 534852 713136 1069704 1426272 2139408 4278816