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682667352 = 23341139323
BaseRepresentation
bin101000101100001…
…010110101011000
31202120120002120000
4220230022311120
52344230323402
6151423533000
722626401553
oct5054126530
91676502500
10682667352
113203910a4
1217075a160
13ab5810a3
146694569a
153edebc1c
hex28b0ad58

682667352 has 80 divisors (see below), whose sum is σ = 1929228840. Its totient is φ = 225517824.

The previous prime is 682667341. The next prime is 682667357. The reversal of 682667352 is 253766286.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 682667298 and 682667307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682667357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68563 + ... + 77885.

Almost surely, 2682667352 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 682667352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964614420).

682667352 is an abundant number, since it is smaller than the sum of its proper divisors (1246561488).

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

682667352 is a wasteful number, since it uses less digits than its factorization.

682667352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9454 (or 9441 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 682667352 is about 26127.9037046603. The cubic root of 682667352 is about 880.5142276896.

The spelling of 682667352 in words is "six hundred eighty-two million, six hundred sixty-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 113 162 216 226 324 339 452 648 678 904 1017 1356 2034 2712 3051 4068 6102 8136 9153 9323 12204 18306 18646 24408 27969 36612 37292 55938 73224 74584 83907 111876 167814 223752 251721 335628 503442 671256 755163 1006884 1053499 1510326 2013768 2106998 3020652 3160497 4213996 6041304 6320994 8427992 9481491 12641988 18962982 25283976 28444473 37925964 56888946 75851928 85333419 113777892 170666838 227555784 341333676 682667352