Search a number
-
+
4814208 = 27337199
BaseRepresentation
bin10010010111010110000000
3100001120212000
4102113112000
52213023313
6251104000
755630410
oct22272600
910046760
104814208
112798a93
121742000
13cc7359
148d4640
15651673
hex497580

4814208 has 128 divisors (see below), whose sum is σ = 16320000. Its totient is φ = 1368576.

The previous prime is 4814191. The next prime is 4814209. The reversal of 4814208 is 8024184.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4814209) 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, 24093 + ... + 24291.

It is an arithmetic number, because the mean of its divisors is an integer number (127500).

Almost surely, 24814208 is an apocalyptic number.

4814208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4814208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8160000).

4814208 is an abundant number, since it is smaller than the sum of its proper divisors (11505792).

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

4814208 is a wasteful number, since it uses less digits than its factorization.

4814208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4814208 is about 2194.1303516428. The cubic root of 4814208 is about 168.8528064909.

The spelling of 4814208 in words is "four million, eight hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 199 216 224 252 288 336 378 384 398 432 448 504 576 597 672 756 796 864 896 1008 1152 1194 1344 1393 1512 1592 1728 1791 2016 2388 2688 2786 3024 3184 3456 3582 4032 4179 4776 5373 5572 6048 6368 7164 8064 8358 9552 10746 11144 12096 12537 12736 14328 16716 19104 21492 22288 24192 25074 25472 28656 33432 37611 38208 42984 44576 50148 57312 66864 75222 76416 85968 89152 100296 114624 133728 150444 171936 178304 200592 229248 267456 300888 343872 401184 534912 601776 687744 802368 1203552 1604736 2407104 4814208