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497646864 = 2432112134
BaseRepresentation
bin11101101010010…
…111110100010000
31021200102002011100
4131222113310100
52004344144424
6121214144400
715221633331
oct3552276420
91250362140
10497646864
112359aa500
1211a7b2100
137c140000
144a142288
152da50dc9
hex1da97d10

497646864 has 225 divisors, whose sum is σ = 1658406659. Its totient is φ = 139201920.

The previous prime is 497646847. The next prime is 497646893. The reversal of 497646864 is 468646794.

The square root of 497646864 is 22308.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 246741264 + 250905600 = 15708^2 + 15840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 497646864.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 38280522 + ... + 38280534.

Almost surely, 2497646864 is an apocalyptic number.

497646864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

497646864 is the 22308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497646864

497646864 is an abundant number, since it is smaller than the sum of its proper divisors (1160759795).

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

497646864 is a wasteful number, since it uses less digits than its factorization.

497646864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 29 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The cubic root of 497646864 is about 792.4534440437.

The spelling of 497646864 in words is "four hundred ninety-seven million, six hundred forty-six thousand, eight hundred sixty-four".