Search a number
-
+
490824152 = 23713838123
BaseRepresentation
bin11101010000010…
…110000111011000
31021012120110011022
4131100112013120
52001122333102
6120412022012
715106636130
oct3520260730
91235513138
10490824152
1123206a4a5
12118461908
137a8c16c0
1449287ac0
152d1545a2
hex1d4161d8

490824152 has 64 divisors (see below), whose sum is σ = 1146458880. Its totient is φ = 191809152.

The previous prime is 490824137. The next prime is 490824179. The reversal of 490824152 is 251428094.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 56363 + ... + 64485.

It is an arithmetic number, because the mean of its divisors is an integer number (17913420).

Almost surely, 2490824152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490824152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573229440).

490824152 is an abundant number, since it is smaller than the sum of its proper divisors (655634728).

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

490824152 is a wasteful number, since it uses less digits than its factorization.

490824152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8232 (or 8228 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 490824152 is about 22154.5514962502. The cubic root of 490824152 is about 788.8152684706.

The spelling of 490824152 in words is "four hundred ninety million, eight hundred twenty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 83 91 104 166 182 332 364 581 664 728 1079 1162 2158 2324 4316 4648 7553 8123 8632 15106 16246 30212 32492 56861 60424 64984 105599 113722 211198 227444 422396 454888 674209 739193 844792 1348418 1478386 2696836 2956772 4719463 5393672 5913544 8764717 9438926 17529434 18877852 35058868 37755704 61353019 70117736 122706038 245412076 490824152