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682312608 = 253213717293
BaseRepresentation
bin101000101010110…
…100001110100000
31202112220001221100
4220222310032200
52344133000413
6151412154400
722623363405
oct5052641640
91675801840
10682312608
1132016961a
12170608a00
13ab488793
14668922ac
153ed7ba73
hex28ab43a0

682312608 has 72 divisors (see below), whose sum is σ = 1954602468. Its totient is φ = 225764352.

The previous prime is 682312607. The next prime is 682312637. The reversal of 682312608 is 806213286.

It can be written as a sum of positive squares in 2 ways, for example, as 641710224 + 40602384 = 25332^2 + 6372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (682312601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30810 + ... + 48102.

Almost surely, 2682312608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682312608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977301234).

682312608 is an abundant number, since it is smaller than the sum of its proper divisors (1272289860).

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

682312608 is a wasteful number, since it uses less digits than its factorization.

682312608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17446 (or 17435 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 682312608 is about 26121.1142181952. The cubic root of 682312608 is about 880.3616832824.

The spelling of 682312608 in words is "six hundred eighty-two million, three hundred twelve thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 137 144 274 288 411 548 822 1096 1233 1644 2192 2466 3288 4384 4932 6576 9864 13152 17293 19728 34586 39456 51879 69172 103758 138344 155637 207516 276688 311274 415032 553376 622548 830064 1245096 1660128 2369141 2490192 4738282 4980384 7107423 9476564 14214846 18953128 21322269 28429692 37906256 42644538 56859384 75812512 85289076 113718768 170578152 227437536 341156304 682312608