Search a number
-
+
4208248 = 2311172997
BaseRepresentation
bin10000000011011001111000
321220210122001
4100003121320
52034130443
6230110344
750524642
oct20033170
97823561
104208248
1124147a0
1214ab3b4
13b445b5
147b7892
15581d4d
hex403678

4208248 has 64 divisors (see below), whose sum is σ = 9525600. Its totient is φ = 1720320.

The previous prime is 4208227. The next prime is 4208249. The reversal of 4208248 is 8428024.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4208249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43336 + ... + 43432.

Almost surely, 24208248 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 4208248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762800).

4208248 is an abundant number, since it is smaller than the sum of its proper divisors (5317352).

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

4208248 is a wasteful number, since it uses less digits than its factorization.

4208248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 4208248 is about 2051.4014721648. The cubic root of 4208248 is about 161.4484110929.

It can be divided in two parts, 420 and 8248, that added together give a palindrome (8668).

The spelling of 4208248 in words is "four million, two hundred eight thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 17 22 29 34 44 58 68 88 97 116 136 187 194 232 319 374 388 493 638 748 776 986 1067 1276 1496 1649 1972 2134 2552 2813 3298 3944 4268 5423 5626 6596 8536 10846 11252 13192 18139 21692 22504 30943 36278 43384 47821 61886 72556 95642 123772 145112 191284 247544 382568 526031 1052062 2104124 4208248