Search a number
-
+
4870008 = 23321121343
BaseRepresentation
bin10010100100111101111000
3100011102101200
4102210331320
52221320013
6252214200
756252163
oct22447570
910142350
104870008
112826a00
12176a360
131016880
1490aada
15662e73
hex4a4f78

4870008 has 144 divisors (see below), whose sum is σ = 15975960. Its totient is φ = 1330560.

The previous prime is 4870001. The next prime is 4870009. The reversal of 4870008 is 8000784.

It is a happy number.

4870008 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4870001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113235 + ... + 113277.

Almost surely, 24870008 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 4870008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7987980).

4870008 is an abundant number, since it is smaller than the sum of its proper divisors (11105952).

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

4870008 is a wasteful number, since it uses less digits than its factorization.

4870008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 4870008 is about 2206.8094616437. The cubic root of 4870008 is about 169.5026757089.

The spelling of 4870008 in words is "four million, eight hundred seventy thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 43 44 52 66 72 78 86 88 99 104 117 121 129 132 143 156 172 198 234 242 258 264 286 312 344 363 387 396 429 468 473 484 516 559 572 726 774 792 858 936 946 968 1032 1089 1118 1144 1287 1419 1452 1548 1573 1677 1716 1892 2178 2236 2574 2838 2904 3096 3146 3354 3432 3784 4257 4356 4472 4719 5031 5148 5203 5676 6149 6292 6708 8514 8712 9438 10062 10296 10406 11352 12298 12584 13416 14157 15609 17028 18447 18876 20124 20812 24596 28314 31218 34056 36894 37752 40248 41624 46827 49192 55341 56628 62436 67639 73788 93654 110682 113256 124872 135278 147576 187308 202917 221364 270556 374616 405834 442728 541112 608751 811668 1217502 1623336 2435004 4870008