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497483280 = 243257259239
BaseRepresentation
bin11101101001101…
…111111000010000
31021200002202202200
4131221233320100
52004323431110
6121210443200
715220352400
oct3551577020
91250082680
10497483280
112358a8608
1211a733500
137c0b3708
144a0dc800
152da1c6c0
hex1da6fe10

497483280 has 360 divisors, whose sum is σ = 1984694400. Its totient is φ = 111315456.

The previous prime is 497483249. The next prime is 497483317. The reversal of 497483280 is 82384794.

497483280 is a `hidden beast` number, since 4 + 97 + 483 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×4974832802 = 494979227759116800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2081401 + ... + 2081639.

It is an arithmetic number, because the mean of its divisors is an integer number (5513040).

Almost surely, 2497483280 is an apocalyptic number.

497483280 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 497483280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992347200).

497483280 is an abundant number, since it is smaller than the sum of its proper divisors (1487211120).

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

497483280 is a wasteful number, since it uses less digits than its factorization.

497483280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 497483280 is about 22304.3332112843. Note that the first 3 decimals coincide. The cubic root of 497483280 is about 792.3666040773.

The spelling of 497483280 in words is "four hundred ninety-seven million, four hundred eighty-three thousand, two hundred eighty".