Search a number
-
+
4848417216 = 26334016997
BaseRepresentation
bin1001000001111110…
…01111100111000000
3110111220011010002000
410200333033213000
534412143322331
62121034224000
7231101603106
oct44077174700
913456133060
104848417216
112068894685
12b33885000
135c3627436
1433dcc3c76
151d59b30e6
hex120fcf9c0

4848417216 has 112 divisors (see below), whose sum is σ = 14291035680. Its totient is φ = 1611878400.

The previous prime is 4848417193. The next prime is 4848417241. The reversal of 4848417216 is 6127148484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689430 + ... + 696426.

Almost surely, 24848417216 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 4848417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7145517840).

4848417216 is an abundant number, since it is smaller than the sum of its proper divisors (9442618464).

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

4848417216 is a wasteful number, since it uses less digits than its factorization.

4848417216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7419 (or 7403 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 4848417216 is about 69630.5767317778. The cubic root of 4848417216 is about 1692.5181251118.

The spelling of 4848417216 in words is "four billion, eight hundred forty-eight million, four hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 401 432 576 802 864 1203 1604 1728 2406 3208 3609 4812 6416 6997 7218 9624 10827 12832 13994 14436 19248 20991 21654 25664 27988 28872 38496 41982 43308 55976 57744 62973 76992 83964 86616 111952 115488 125946 167928 173232 188919 223904 230976 251892 335856 346464 377838 447808 503784 671712 692928 755676 1007568 1343424 1511352 2015136 2805797 3022704 4030272 5611594 6045408 8417391 11223188 12090816 16834782 22446376 25252173 33669564 44892752 50504346 67339128 75756519 89785504 101008692 134678256 151513038 179571008 202017384 269356512 303026076 404034768 538713024 606052152 808069536 1212104304 1616139072 2424208608 4848417216