Search a number
-
+
4426368 = 27311527
BaseRepresentation
bin10000111000101010000000
322022212211120
4100320222000
52113120433
6234512240
752423602
oct20705200
98285746
104426368
112553661
121595680
13bbc96b
14833172
155c67b3
hex438a80

4426368 has 32 divisors (see below), whose sum is σ = 11758560. Its totient is φ = 1475328.

The previous prime is 4426363. The next prime is 4426369. The reversal of 4426368 is 8636244.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4426361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5380 + ... + 6147.

It is an arithmetic number, because the mean of its divisors is an integer number (367455).

Almost surely, 24426368 is an apocalyptic number.

4426368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4426368 is an abundant number, since it is smaller than the sum of its proper divisors (7332192).

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

4426368 is a wasteful number, since it uses less digits than its factorization.

4426368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11544 (or 11532 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 4426368 is about 2103.8935334280. The cubic root of 4426368 is about 164.1909336810.

The spelling of 4426368 in words is "four million, four hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 11527 23054 34581 46108 69162 92216 138324 184432 276648 368864 553296 737728 1106592 1475456 2213184 4426368