Search a number
-
+
4265632 = 257137139
BaseRepresentation
bin10000010001011010100000
322000201100101
4100101122200
52043000012
6231232144
751154150
oct20213240
98021311
104265632
112453918
121518654
13b64757
147d0760
15593d57
hex4116a0

4265632 has 48 divisors (see below), whose sum is σ = 9737280. Its totient is φ = 1801728.

The previous prime is 4265629. The next prime is 4265663. The reversal of 4265632 is 2365624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 4 + 210 + 65 + 56 + 66 + 35 + 222 .

It is a self number, because there is not a number n which added to its sum of digits gives 4265632.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 30619 + ... + 30757.

It is an arithmetic number, because the mean of its divisors is an integer number (202860).

Almost surely, 24265632 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 4265632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868640).

4265632 is an abundant number, since it is smaller than the sum of its proper divisors (5471648).

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

4265632 is a wasteful number, since it uses less digits than its factorization.

4265632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 285 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 4265632 is about 2065.3406498687. The cubic root of 4265632 is about 162.1789416311.

The spelling of 4265632 in words is "four million, two hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 139 224 274 278 548 556 959 973 1096 1112 1918 1946 2192 2224 3836 3892 4384 4448 7672 7784 15344 15568 19043 30688 31136 38086 76172 133301 152344 266602 304688 533204 609376 1066408 2132816 4265632