Search a number
-
+
490390368 = 25313443887
BaseRepresentation
bin11101001110101…
…100001101100000
31021011202102010020
4131032230031200
52001014442433
6120354433440
715103151346
oct3516541540
91234672106
10490390368
112318a35a6
12118292880
137a79c120
14491b3996
152d0bacb3
hex1d3ac360

490390368 has 96 divisors (see below), whose sum is σ = 1390991616. Its totient is φ = 150379008.

The previous prime is 490390363. The next prime is 490390379. The reversal of 490390368 is 863093094.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490390363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552421 + ... + 553307.

It is an arithmetic number, because the mean of its divisors is an integer number (14489496).

Almost surely, 2490390368 is an apocalyptic number.

490390368 is a gapful number since it is divisible by the number (48) 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 490390368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695495808).

490390368 is an abundant number, since it is smaller than the sum of its proper divisors (900601248).

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

490390368 is a wasteful number, since it uses less digits than its factorization.

490390368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 490390368 is about 22144.7593800429. The cubic root of 490390368 is about 788.5828184210.

The spelling of 490390368 in words is "four hundred ninety million, three hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 443 624 886 887 1248 1329 1772 1774 2658 2661 3544 3548 5316 5322 5759 7088 7096 10632 10644 11518 11531 14176 14192 17277 21264 21288 23036 23062 28384 34554 34593 42528 42576 46072 46124 69108 69186 85152 92144 92248 138216 138372 184288 184496 276432 276744 368992 392941 552864 553488 785882 1106976 1178823 1571764 2357646 3143528 4715292 5108233 6287056 9430584 10216466 12574112 15324699 18861168 20432932 30649398 37722336 40865864 61298796 81731728 122597592 163463456 245195184 490390368