Search a number
-
+
490078314 = 232112832711
BaseRepresentation
bin11101001101100…
…000000001101010
31021011011120001200
4131031200001222
52000430001224
6120344025030
715100411515
oct3515400152
91234146050
10490078314
11231700100
12118162176
137a6c008b
1449131d7c
152d0585c9
hex1d36006a

490078314 has 72 divisors (see below), whose sum is σ = 1181640096. Its totient is φ = 146665200.

The previous prime is 490078313. The next prime is 490078321. The reversal of 490078314 is 413870094.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (490078313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 179419 + ... + 182129.

It is an arithmetic number, because the mean of its divisors is an integer number (16411668).

Almost surely, 2490078314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490078314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590820048).

490078314 is an abundant number, since it is smaller than the sum of its proper divisors (691561782).

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

490078314 is a wasteful number, since it uses less digits than its factorization.

490078314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 490078314 is about 22137.7124834523. The cubic root of 490078314 is about 788.4155145382.

The spelling of 490078314 in words is "four hundred ninety million, seventy-eight thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 121 166 198 242 249 363 498 726 747 913 1089 1494 1826 2178 2711 2739 5422 5478 8133 8217 10043 16266 16434 20086 24399 29821 30129 48798 59642 60258 89463 90387 178926 180774 225013 268389 328031 450026 536778 656062 675039 984093 1350078 1968186 2025117 2475143 2952279 4050234 4950286 5904558 7425429 14850858 22276287 27226573 44552574 54453146 81679719 163359438 245039157 490078314