Search a number
-
+
492987968 = 26113072281
BaseRepresentation
bin11101011000100…
…110011001000000
31021100122101100122
4131120212121000
52002201103333
6120530235412
715134220464
oct3530463100
91240571318
10492987968
11233308180
12119125b68
137b19b575
144968c4a4
152d430798
hex1d626640

492987968 has 56 divisors (see below), whose sum is σ = 1071152544. Its totient is φ = 223257600.

The previous prime is 492987967. The next prime is 492987983. The reversal of 492987968 is 869789294.

It is a self number, because there is not a number n which added to its sum of digits gives 492987968.

It is not an unprimeable number, because it can be changed into a prime (492987967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214988 + ... + 217268.

It is an arithmetic number, because the mean of its divisors is an integer number (19127724).

Almost surely, 2492987968 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 492987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535576272).

492987968 is an abundant number, since it is smaller than the sum of its proper divisors (578164576).

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

492987968 is a wasteful number, since it uses less digits than its factorization.

492987968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2601 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 62.

The square root of 492987968 is about 22203.3323625081. The cubic root of 492987968 is about 789.9727427438.

The spelling of 492987968 in words is "four hundred ninety-two million, nine hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 307 352 614 704 1228 2281 2456 3377 4562 4912 6754 9124 9824 13508 18248 19648 25091 27016 36496 50182 54032 72992 100364 108064 145984 200728 216128 401456 700267 802912 1400534 1605824 2801068 5602136 7702937 11204272 15405874 22408544 30811748 44817088 61623496 123246992 246493984 492987968