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4800384 = 2734463
BaseRepresentation
bin10010010011111110000000
3100000212220000
4102103332000
52212103014
6250520000
755542201
oct22237600
910025800
104800384
112789666
121736000
13cc0c84
148cd5a8
1564c509
hex493f80

4800384 has 80 divisors (see below), whose sum is σ = 14316720. Its totient is φ = 1596672.

The previous prime is 4800373. The next prime is 4800401. The reversal of 4800384 is 4830084.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10137 + ... + 10599.

It is an arithmetic number, because the mean of its divisors is an integer number (178959).

Almost surely, 24800384 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 4800384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7158360).

4800384 is an abundant number, since it is smaller than the sum of its proper divisors (9516336).

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

4800384 is an equidigital number, since it uses as much as digits as its factorization.

4800384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4800384 is about 2190.9778638772. The cubic root of 4800384 is about 168.6910312479.

It can be divided in two parts, 4800 and 384, that added together give a square (5184 = 722).

The spelling of 4800384 in words is "four million, eight hundred thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 463 576 648 864 926 1152 1296 1389 1728 1852 2592 2778 3456 3704 4167 5184 5556 7408 8334 10368 11112 12501 14816 16668 22224 25002 29632 33336 37503 44448 50004 59264 66672 75006 88896 100008 133344 150012 177792 200016 266688 300024 400032 533376 600048 800064 1200096 1600128 2400192 4800384