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4872384 = 263211769
BaseRepresentation
bin10010100101100011000000
3100011112122200
4102211203000
52221404014
6252233200
756262126
oct22454300
910145580
104872384
112828770
12176b800
13101798a
1490b916
15663a09
hex4a58c0

4872384 has 84 divisors (see below), whose sum is σ = 15255240. Its totient is φ = 1474560.

The previous prime is 4872337. The next prime is 4872391. The reversal of 4872384 is 4832784.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5952 + ... + 6720.

It is an arithmetic number, because the mean of its divisors is an integer number (181610).

Almost surely, 24872384 is an apocalyptic number.

4872384 is a gapful number since it is divisible by the number (44) 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 4872384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7627620).

4872384 is an abundant number, since it is smaller than the sum of its proper divisors (10382856).

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

4872384 is a wasteful number, since it uses less digits than its factorization.

4872384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 785 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 4872384 is about 2207.3477297426. The cubic root of 4872384 is about 169.5302371201.

The spelling of 4872384 in words is "four million, eight hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 769 792 1056 1538 1584 2112 2307 3076 3168 4614 6152 6336 6921 8459 9228 12304 13842 16918 18456 24608 25377 27684 33836 36912 49216 50754 55368 67672 73824 76131 101508 110736 135344 147648 152262 203016 221472 270688 304524 406032 442944 541376 609048 812064 1218096 1624128 2436192 4872384