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497132640 = 2534589431
BaseRepresentation
bin11101101000011…
…010010001100000
31021122102221210000
4131220122101200
52004231221030
6121155140000
715214362204
oct3550322140
91248387700
10497132640
11235689124
1211a5a4600
137bcbcc34
144a04ab04
152d99d860
hex1da1a460

497132640 has 240 divisors, whose sum is σ = 1778293440. Its totient is φ = 130775040.

The previous prime is 497132621. The next prime is 497132641. The reversal of 497132640 is 46231794.

497132640 is a `hidden beast` number, since 4 + 9 + 7 + 1 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 497132595 and 497132604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497132641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1153225 + ... + 1153655.

It is an arithmetic number, because the mean of its divisors is an integer number (7409556).

Almost surely, 2497132640 is an apocalyptic number.

497132640 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 497132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889146720).

497132640 is an abundant number, since it is smaller than the sum of its proper divisors (1281160800).

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

497132640 is a wasteful number, since it uses less digits than its factorization.

497132640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 497132640 is about 22296.4714697191. The cubic root of 497132640 is about 792.1803996773.

The spelling of 497132640 in words is "four hundred ninety-seven million, one hundred thirty-two thousand, six hundred forty".