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4857984 = 27324217
BaseRepresentation
bin10010100010000010000000
3100010210220100
4102202002000
52220423414
6252042400
756202135
oct22420200
910123810
104857984
11281896a
121763400
131011261
1490658c
1565e609
hex4a2080

4857984 has 48 divisors (see below), whose sum is σ = 13982670. Its totient is φ = 1618944.

The previous prime is 4857973. The next prime is 4857997. The reversal of 4857984 is 4897584.

It can be written as a sum of positive squares in only one way, i.e., 3240000 + 1617984 = 1800^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 957 + ... + 3260.

Almost surely, 24857984 is an apocalyptic number.

It is an amenable number.

4857984 is an abundant number, since it is smaller than the sum of its proper divisors (9124686).

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

4857984 is a wasteful number, since it uses less digits than its factorization.

4857984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4222 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 4857984 is about 2204.0834829924. The cubic root of 4857984 is about 169.3630606182.

The spelling of 4857984 in words is "four million, eight hundred fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 4217 8434 12651 16868 25302 33736 37953 50604 67472 75906 101208 134944 151812 202416 269888 303624 404832 539776 607248 809664 1214496 1619328 2428992 4857984