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493299072 = 273472971
BaseRepresentation
bin11101011001110…
…010010110000000
31021101020012010000
4131121302112000
52002241032242
6120541040000
715136654500
oct3531622600
91241205100
10493299072
112334aa992
12119256000
137b27a056
144972da00
152d492a4c
hex1d672580

493299072 has 240 divisors, whose sum is σ = 1709490420. Its totient is φ = 140797440.

The previous prime is 493299041. The next prime is 493299083. The reversal of 493299072 is 270992394.

493299072 is a `hidden beast` number, since 493 + 2 + 9 + 90 + 72 = 666.

It is a super-2 number, since 2×4932990722 = 486687948872122368, which contains 22 as substring.

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 507547 + ... + 508517.

Almost surely, 2493299072 is an apocalyptic number.

493299072 is a gapful number since it is divisible by the number (42) 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 493299072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854745210).

493299072 is an abundant number, since it is smaller than the sum of its proper divisors (1216191348).

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

493299072 is an equidigital number, since it uses as much as digits as its factorization.

493299072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 493299072 is about 22210.3370528229. The cubic root of 493299072 is about 790.1388806736.

The spelling of 493299072 in words is "four hundred ninety-three million, two hundred ninety-nine thousand, seventy-two".