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497871360 = 2934574
BaseRepresentation
bin11101101011001…
…110101000000000
31021200211111010000
4131223032220000
52004423340420
6121223040000
715223560000
oct3553165000
91250744100
10497871360
11236043138
1211a8a0000
137c1bb24c
144a1a0000
152da97690
hex1dacea00

497871360 has 500 divisors, whose sum is σ = 2080297098. Its totient is φ = 113799168.

The previous prime is 497871281. The next prime is 497871373. The reversal of 497871360 is 63178794.

It can be written as a sum of positive squares in only one way, i.e., 448084224 + 49787136 = 21168^2 + 7056^2 .

It is a super-2 number, since 2×4978713602 = 495751782216499200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 71124477 + ... + 71124483.

Almost surely, 2497871360 is an apocalyptic number.

497871360 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 497871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040148549).

497871360 is an abundant number, since it is smaller than the sum of its proper divisors (1582425738).

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

497871360 is an frugal number, since it uses more digits than its factorization.

497871360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 497871360 is about 22313.0311701481. The cubic root of 497871360 is about 792.5725886932.

The spelling of 497871360 in words is "four hundred ninety-seven million, eight hundred seventy-one thousand, three hundred sixty".