Search a number
-
+
2473984 = 214151
BaseRepresentation
bin1001011100000000000000
311122200200001
421130000000
51113131414
6125005344
730012532
oct11340000
94580601
102473984
11143a817
129b3854
136880c6
14485852
1533d074
hex25c000

2473984 has 30 divisors (see below), whose sum is σ = 4980584. Its totient is φ = 1228800.

The previous prime is 2473979. The next prime is 2473997. The reversal of 2473984 is 4893742.

It is a happy number.

It is a super-2 number, since 2×24739842 = 12241193664512, which contains 22 as substring.

It is a congruent 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 as a sum of consecutive naturals, namely, 16309 + ... + 16459.

22473984 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 2473984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490292).

2473984 is an abundant number, since it is smaller than the sum of its proper divisors (2506600).

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

2473984 is an frugal number, since it uses more digits than its factorization.

2473984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 153 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 2473984 is about 1572.8903331129. The cubic root of 2473984 is about 135.2484496595.

The spelling of 2473984 in words is "two million, four hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 151 256 302 512 604 1024 1208 2048 2416 4096 4832 8192 9664 16384 19328 38656 77312 154624 309248 618496 1236992 2473984