Search a number
-
+
4426272 = 253347109
BaseRepresentation
bin10000111000101000100000
322022212201000
4100320220200
52113120042
6234512000
752423404
oct20705040
98285630
104426272
112553584
121595600
13bbc8c6
14833104
155c674c
hex438a20

4426272 has 96 divisors (see below), whose sum is σ = 13305600. Its totient is φ = 1430784.

The previous prime is 4426249. The next prime is 4426277. The reversal of 4426272 is 2726244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4426277) 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 15 ways as a sum of consecutive naturals, for example, 40554 + ... + 40662.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

Almost surely, 24426272 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 4426272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652800).

4426272 is an abundant number, since it is smaller than the sum of its proper divisors (8879328).

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

4426272 is a wasteful number, since it uses less digits than its factorization.

4426272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 4426272 is about 2103.8707184616. The cubic root of 4426272 is about 164.1897466699.

The spelling of 4426272 in words is "four million, four hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 109 141 144 188 216 218 282 288 327 376 423 432 436 564 654 752 846 864 872 981 1128 1269 1308 1504 1692 1744 1962 2256 2538 2616 2943 3384 3488 3924 4512 5076 5123 5232 5886 6768 7848 10152 10246 10464 11772 13536 15369 15696 20304 20492 23544 30738 31392 40608 40984 46107 47088 61476 81968 92214 94176 122952 138321 163936 184428 245904 276642 368856 491808 553284 737712 1106568 1475424 2213136 4426272