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495381744 = 243911213
BaseRepresentation
bin11101100001101…
…110110011110000
31021112011000000000
4131201232303300
52003304203434
6121053430000
715163450434
oct3541566360
91245130000
10495381744
112346a2700
12119a9b300
137b828cc0
1449b129c4
152d754b99
hex1d86ecf0

495381744 has 300 divisors, whose sum is σ = 1704184328. Its totient is φ = 138568320.

The previous prime is 495381727. The next prime is 495381749. The reversal of 495381744 is 447183594.

495381744 is a `hidden beast` number, since 49 + 538 + 1 + 74 + 4 = 666.

Its product of digits (483840) is a multiple of the sum of its prime factors (70).

It is a self number, because there is not a number n which added to its sum of digits gives 495381744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495381749) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38106282 + ... + 38106294.

Almost surely, 2495381744 is an apocalyptic number.

495381744 is a gapful number since it is divisible by the number (44) 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 495381744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852092164).

495381744 is an abundant number, since it is smaller than the sum of its proper divisors (1208802584).

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

495381744 is an equidigital number, since it uses as much as digits as its factorization.

495381744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 29 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 495381744 is about 22257.1728662919. The cubic root of 495381744 is about 791.2492886497.

The spelling of 495381744 in words is "four hundred ninety-five million, three hundred eighty-one thousand, seven hundred forty-four".