Search a number
-
+
4275936 = 253372101
BaseRepresentation
bin10000010011111011100000
322001020111000
4100103323200
52043312221
6231352000
751226200
oct20237340
98036430
104275936
112460635
121522600
13b69352
147d4400
15596e26
hex413ee0

4275936 has 144 divisors (see below), whose sum is σ = 14651280. Its totient is φ = 1209600.

The previous prime is 4275883. The next prime is 4275937. The reversal of 4275936 is 6395724.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 411 + 23 + 7 + 57 + 9 + 37 + 64 .

It is a self number, because there is not a number n which added to its sum of digits gives 4275936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4275937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42286 + ... + 42386.

It is an arithmetic number, because the mean of its divisors is an integer number (101745).

Almost surely, 24275936 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 4275936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325640).

4275936 is an abundant number, since it is smaller than the sum of its proper divisors (10375344).

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

4275936 is a wasteful number, since it uses less digits than its factorization.

4275936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 4275936 is about 2067.8336490153. The cubic root of 4275936 is about 162.3094223400.

The spelling of 4275936 in words is "four million, two hundred seventy-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 101 108 112 126 144 147 168 189 196 202 216 224 252 288 294 303 336 378 392 404 432 441 504 588 606 672 707 756 784 808 864 882 909 1008 1176 1212 1323 1414 1512 1568 1616 1764 1818 2016 2121 2352 2424 2646 2727 2828 3024 3232 3528 3636 4242 4704 4848 4949 5292 5454 5656 6048 6363 7056 7272 8484 9696 9898 10584 10908 11312 12726 14112 14544 14847 16968 19089 19796 21168 21816 22624 25452 29088 29694 33936 38178 39592 42336 43632 44541 50904 59388 67872 76356 79184 87264 89082 101808 118776 133623 152712 158368 178164 203616 237552 267246 305424 356328 475104 534492 610848 712656 1068984 1425312 2137968 4275936