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682545408 = 2834212111
BaseRepresentation
bin101000101011101…
…101000100000000
31202120022220021120
4220223231010000
52344212423113
6151421152240
722625353206
oct5053550400
91676286246
10682545408
11320308516
121706bb680
13ab53a72c
1466913076
153edc5a23
hex28aed100

682545408 has 72 divisors (see below), whose sum is σ = 1821743616. Its totient is φ = 226867200.

The previous prime is 682545397. The next prime is 682545419. The reversal of 682545408 is 804545286.

It is an interprime number because it is at equal distance from previous prime (682545397) and next prime (682545419).

It is a self number, because there is not a number n which added to its sum of digits gives 682545408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322273 + ... + 324383.

Almost surely, 2682545408 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 682545408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910871808).

682545408 is an abundant number, since it is smaller than the sum of its proper divisors (1139198208).

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

682545408 is a wasteful number, since it uses less digits than its factorization.

682545408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 682545408 is about 26125.5700033511. The cubic root of 682545408 is about 880.4617961891.

The spelling of 682545408 in words is "six hundred eighty-two million, five hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 421 768 842 1263 1684 2111 2526 3368 4222 5052 6333 6736 8444 10104 12666 13472 16888 20208 25332 26944 33776 40416 50664 53888 67552 80832 101328 107776 135104 161664 202656 270208 323328 405312 540416 810624 888731 1621248 1777462 2666193 3554924 5332386 7109848 10664772 14219696 21329544 28439392 42659088 56878784 85318176 113757568 170636352 227515136 341272704 682545408