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4273672 = 2313229109
BaseRepresentation
bin10000010011011000001000
322001010101011
4100103120020
52043224142
6231333304
751216454
oct20233010
98033334
104273672
112459967
121521234
13b68300
147d3664
15596417
hex413608

4273672 has 48 divisors (see below), whose sum is σ = 9058500. Its totient is φ = 1886976.

The previous prime is 4273669. The next prime is 4273679. The reversal of 4273672 is 2763724.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1012036 + 3261636 = 1006^2 + 1806^2 .

It is not an unprimeable number, because it can be changed into a prime (4273679) 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 11 ways as a sum of consecutive naturals, for example, 39154 + ... + 39262.

Almost surely, 24273672 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 4273672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529250).

4273672 is an abundant number, since it is smaller than the sum of its proper divisors (4784828).

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

4273672 is a wasteful number, since it uses less digits than its factorization.

4273672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its digits is 14112, while the sum is 31.

The square root of 4273672 is about 2067.2861437160. The cubic root of 4273672 is about 162.2807710376.

The spelling of 4273672 in words is "four million, two hundred seventy-three thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 26 29 52 58 104 109 116 169 218 232 338 377 436 676 754 872 1352 1417 1508 2834 3016 3161 4901 5668 6322 9802 11336 12644 18421 19604 25288 36842 39208 41093 73684 82186 147368 164372 328744 534209 1068418 2136836 4273672