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490854 = 237132931
BaseRepresentation
bin1110111110101100110
3220221022210
41313311212
5111201404
614304250
74113030
oct1676546
9827283
10490854
11305871
121b8086
13142560
14cac50
159a689
hex77d66

490854 has 64 divisors (see below), whose sum is σ = 1290240. Its totient is φ = 120960.

The previous prime is 490849. The next prime is 490859. The reversal of 490854 is 458094.

490854 = T92 + T93 + ... + T154.

It is an interprime number because it is at equal distance from previous prime (490849) and next prime (490859).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490859) by changing a digit.

490854 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 31 ways as a sum of consecutive naturals, for example, 15819 + ... + 15849.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2490854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645120).

490854 is an abundant number, since it is smaller than the sum of its proper divisors (799386).

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

490854 is a wasteful number, since it uses less digits than its factorization.

490854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 490854 is about 700.6097344456. The cubic root of 490854 is about 78.8831257959.

The spelling of 490854 in words is "four hundred ninety thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 7 13 14 21 26 29 31 39 42 58 62 78 87 91 93 174 182 186 203 217 273 377 403 406 434 546 609 651 754 806 899 1131 1209 1218 1302 1798 2262 2418 2639 2697 2821 5278 5394 5642 6293 7917 8463 11687 12586 15834 16926 18879 23374 35061 37758 70122 81809 163618 245427 490854