Search a number
-
+
491397760 = 27571923251
BaseRepresentation
bin11101010010100…
…010001010000000
31021020122121000001
4131102202022000
52001244212020
6120432205344
715114545350
oct3522421200
91236577001
10491397760
11232421457
12118699854
137aa62809
1449396b60
152d21950a
hex1d4a2280

491397760 has 256 divisors, whose sum is σ = 1480550400. Its totient is φ = 152064000.

The previous prime is 491397757. The next prime is 491397769. The reversal of 491397760 is 67793194.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 491397760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491397769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1957635 + ... + 1957885.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2491397760 is an apocalyptic number.

491397760 is a gapful number since it is divisible by the number (40) 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 491397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740275200).

491397760 is an abundant number, since it is smaller than the sum of its proper divisors (989152640).

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

491397760 is a wasteful number, since it uses less digits than its factorization.

491397760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The square root of 491397760 is about 22167.4933179194. The cubic root of 491397760 is about 789.1224352356.

The spelling of 491397760 in words is "four hundred ninety-one million, three hundred ninety-seven thousand, seven hundred sixty".