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497111040 = 2123352931
BaseRepresentation
bin11101101000010…
…101000000000000
31021122101212011000
4131220111000000
52004230023130
6121154452000
715214242216
oct3550250000
91248355130
10497111040
11235673978
1211a594000
137bcb315a
144a042cb6
152d997260
hex1da15000

497111040 has 416 divisors, whose sum is σ = 1887206400. Its totient is φ = 123863040.

The previous prime is 497111023. The next prime is 497111047. The reversal of 497111040 is 40111794.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 497110995 and 497111013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497111047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16035825 + ... + 16035855.

Almost surely, 2497111040 is an apocalyptic number.

497111040 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 497111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943603200).

497111040 is an abundant number, since it is smaller than the sum of its proper divisors (1390095360).

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

497111040 is a wasteful number, since it uses less digits than its factorization.

497111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 497111040 is about 22295.9870828811. The cubic root of 497111040 is about 792.1689263178.

The spelling of 497111040 in words is "four hundred ninety-seven million, one hundred eleven thousand, forty".