Search a number
-
+
490287160 = 2351139209
BaseRepresentation
bin11101001110010…
…011000000111000
31021011120011112201
4131032103000320
52001003142120
6120352315544
715102241426
oct3516230070
91234504481
10490287160
11231833000
12118242bb4
137a76415c
1449188116
152d09a40a
hex1d393038

490287160 has 64 divisors (see below), whose sum is σ = 1213509600. Its totient is φ = 178266880.

The previous prime is 490287139. The next prime is 490287167. The reversal of 490287160 is 61782094.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490287167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48636 + ... + 57844.

Almost surely, 2490287160 is an apocalyptic number.

490287160 is a gapful number since it is divisible by the number (40) 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 490287160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606754800).

490287160 is an abundant number, since it is smaller than the sum of its proper divisors (723222440).

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

490287160 is a wasteful number, since it uses less digits than its factorization.

490287160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9253 (or 9227 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 490287160 is about 22142.4289543853. The cubic root of 490287160 is about 788.5274925887.

The spelling of 490287160 in words is "four hundred ninety million, two hundred eighty-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 1331 2420 2662 4840 5324 6655 9209 10648 13310 18418 26620 36836 46045 53240 73672 92090 101299 184180 202598 368360 405196 506495 810392 1012990 1114289 2025980 2228578 4051960 4457156 5571445 8914312 11142890 12257179 22285780 24514358 44571560 49028716 61285895 98057432 122571790 245143580 490287160