Search a number
-
+
490177024 = 292933013
BaseRepresentation
bin11101001101111…
…000001000000000
31021011100120110121
4131031320020000
52000441131044
6120350110024
715101302351
oct3515701000
91234316417
10490177024
11231768287
121181ab314
137a725c9c
1449159d28
152d077984
hex1d378200

490177024 has 40 divisors (see below), whose sum is σ = 1013199660. Its totient is φ = 236630016.

The previous prime is 490177013. The next prime is 490177027. The reversal of 490177024 is 420771094.

It can be written as a sum of positive squares in 2 ways, for example, as 476985600 + 13191424 = 21840^2 + 3632^2 .

It is not an unprimeable number, because it can be changed into a prime (490177027) 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 3 ways as a sum of consecutive naturals, for example, 1659 + ... + 31354.

Almost surely, 2490177024 is an apocalyptic number.

It is an amenable number.

490177024 is an abundant number, since it is smaller than the sum of its proper divisors (523022636).

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

490177024 is an equidigital number, since it uses as much as digits as its factorization.

490177024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33060 (or 33044 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 490177024 is about 22139.9418246751. The cubic root of 490177024 is about 788.4684443583.

The spelling of 490177024 in words is "four hundred ninety million, one hundred seventy-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1856 3712 7424 14848 33013 66026 132052 264104 528208 957377 1056416 1914754 2112832 3829508 4225664 7659016 8451328 15318032 16902656 30636064 61272128 122544256 245088512 490177024