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4269312 = 283217109
BaseRepresentation
bin10000010010010100000000
322000220101200
4100102110000
52043104222
6231301200
751200655
oct20222400
98026350
104269312
112456663
12151a800
13b66328
147d1c2c
15594eac
hex412500

4269312 has 108 divisors (see below), whose sum is σ = 13153140. Its totient is φ = 1327104.

The previous prime is 4269277. The next prime is 4269313. The reversal of 4269312 is 2139624.

It can be written as a sum of positive squares in 2 ways, for example, as 3154176 + 1115136 = 1776^2 + 1056^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4269313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39114 + ... + 39222.

Almost surely, 24269312 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 4269312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6576570).

4269312 is an abundant number, since it is smaller than the sum of its proper divisors (8883828).

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

4269312 is a wasteful number, since it uses less digits than its factorization.

4269312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 4269312 is about 2066.2313520030. The cubic root of 4269312 is about 162.2255659813.

The spelling of 4269312 in words is "four million, two hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 109 128 136 144 153 192 204 218 256 272 288 306 327 384 408 436 544 576 612 654 768 816 872 981 1088 1152 1224 1308 1632 1744 1853 1962 2176 2304 2448 2616 3264 3488 3706 3924 4352 4896 5232 5559 6528 6976 7412 7848 9792 10464 11118 13056 13952 14824 15696 16677 19584 20928 22236 27904 29648 31392 33354 39168 41856 44472 59296 62784 66708 83712 88944 118592 125568 133416 177888 237184 251136 266832 355776 474368 533664 711552 1067328 1423104 2134656 4269312