Search a number
-
+
4869216 = 2532112953
BaseRepresentation
bin10010100100110001100000
3100011101022100
4102210301200
52221303331
6252210400
756246652
oct22446140
910141270
104869216
112826350
121769a00
1310163c1
1490a6d2
15662ae6
hex4a4c60

4869216 has 144 divisors (see below), whose sum is σ = 15921360. Its totient is φ = 1397760.

The previous prime is 4869209. The next prime is 4869223. The reversal of 4869216 is 6129684.

It is an interprime number because it is at equal distance from previous prime (4869209) and next prime (4869223).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91846 + ... + 91898.

It is an arithmetic number, because the mean of its divisors is an integer number (110565).

Almost surely, 24869216 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 4869216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7960680).

4869216 is an abundant number, since it is smaller than the sum of its proper divisors (11052144).

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

4869216 is a wasteful number, since it uses less digits than its factorization.

4869216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 98 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 4869216 is about 2206.6300097660. The cubic root of 4869216 is about 169.4934865798.

The spelling of 4869216 in words is "four million, eight hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 32 33 36 44 48 53 58 66 72 87 88 96 99 106 116 132 144 159 174 176 198 212 232 261 264 288 318 319 348 352 396 424 464 477 522 528 583 636 638 696 792 848 928 954 957 1044 1056 1166 1272 1276 1392 1537 1584 1696 1749 1908 1914 2088 2332 2544 2552 2784 2871 3074 3168 3498 3816 3828 4176 4611 4664 5088 5104 5247 5742 6148 6996 7632 7656 8352 9222 9328 10208 10494 11484 12296 13833 13992 15264 15312 16907 18444 18656 20988 22968 24592 27666 27984 30624 33814 36888 41976 45936 49184 50721 55332 55968 67628 73776 83952 91872 101442 110664 135256 147552 152163 167904 202884 221328 270512 304326 405768 442656 541024 608652 811536 1217304 1623072 2434608 4869216