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497514240 = 28325192273
BaseRepresentation
bin11101101001110…
…111011100000000
31021200011100020100
4131221313130000
52004330423430
6121211242400
715220541556
oct3551673400
91250140210
10497514240
112359198a3
1211a749400
137c0c4832
144a109bd6
152da26960
hex1da77700

497514240 has 216 divisors, whose sum is σ = 1812741840. Its totient is φ = 125632512.

The previous prime is 497514239. The next prime is 497514301. The reversal of 497514240 is 42415794.

It is a happy number.

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 = 497514195 and 497514204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217744 + ... + 220016.

Almost surely, 2497514240 is an apocalyptic number.

497514240 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 497514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906370920).

497514240 is an abundant number, since it is smaller than the sum of its proper divisors (1315227600).

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

497514240 is a wasteful number, since it uses less digits than its factorization.

497514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 497514240 is about 22305.0272360291. The cubic root of 497514240 is about 792.3830409186.

The spelling of 497514240 in words is "four hundred ninety-seven million, five hundred fourteen thousand, two hundred forty".