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497631840 = 25353153631
BaseRepresentation
bin11101101010010…
…100001001100000
31021200101022112220
4131222110021200
52004343204330
6121213551040
715221541456
oct3552241140
91250338486
10497631840
1123599a192
1211a7a5480
137c136214
144a13a9d6
152da4b710
hex1da94260

497631840 has 192 divisors, whose sum is σ = 1651249152. Its totient is φ = 125798400.

The previous prime is 497631821. The next prime is 497631863. The reversal of 497631840 is 48136794.

It is a junction number, because it is equal to n+sod(n) for n = 497631792 and 497631801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788325 + ... + 788955.

It is an arithmetic number, because the mean of its divisors is an integer number (8600256).

Almost surely, 2497631840 is an apocalyptic number.

497631840 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 497631840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825624576).

497631840 is an abundant number, since it is smaller than the sum of its proper divisors (1153617312).

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

497631840 is a wasteful number, since it uses less digits than its factorization.

497631840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 497631840 is about 22307.6632572755. The cubic root of 497631840 is about 792.4454692184.

The spelling of 497631840 in words is "four hundred ninety-seven million, six hundred thirty-one thousand, eight hundred forty".