Search a number
-
+
24414820 = 2253732993
BaseRepresentation
bin101110100100…
…0101001100100
31200221101211121
41131020221210
522222233240
62231143324
7414344143
oct135105144
950841747
1024414820
1112866241
128214b44
13509aa51
14335775a
15222404a
hex1748a64

24414820 has 24 divisors (see below), whose sum is σ = 52658424. Its totient is φ = 9501696.

The previous prime is 24414809. The next prime is 24414827. The reversal of 24414820 is 2841442.

It can be written as a sum of positive squares in 4 ways, for example, as 1833316 + 22581504 = 1354^2 + 4752^2 .

It is not an unprimeable number, because it can be changed into a prime (24414827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15757 + ... + 17236.

It is an arithmetic number, because the mean of its divisors is an integer number (2194101).

Almost surely, 224414820 is an apocalyptic number.

24414820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24414820 is an abundant number, since it is smaller than the sum of its proper divisors (28243604).

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

24414820 is a wasteful number, since it uses less digits than its factorization.

24414820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33039 (or 33037 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 24414820 is about 4941.1354970290. The cubic root of 24414820 is about 290.1023023928.

The spelling of 24414820 in words is "twenty-four million, four hundred fourteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 32993 65986 131972 164965 329930 659860 1220741 2441482 4882964 6103705 12207410 24414820