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682363008 = 2733347569
BaseRepresentation
bin101000101011000…
…000100010000000
31202112222122002000
4220223000202000
52344141104013
6151413224000
722623663345
oct5053004200
91675878060
10682363008
113201a3478
12170632000
13ab4a56c2
14668a67cc
153ed8b973
hex28ac0880

682363008 has 128 divisors (see below), whose sum is σ = 2023272000. Its totient is φ = 226400256.

The previous prime is 682363007. The next prime is 682363009. The reversal of 682363008 is 800363286.

It is an interprime number because it is at equal distance from previous prime (682363007) and next prime (682363009).

It is a tau number, because it is divible by the number of its divisors (128).

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 (682363007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1198948 + ... + 1199516.

Almost surely, 2682363008 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 682363008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011636000).

682363008 is an abundant number, since it is smaller than the sum of its proper divisors (1340908992).

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

682363008 is a wasteful number, since it uses less digits than its factorization.

682363008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 682363008 is about 26122.0789371750. The cubic root of 682363008 is about 880.3833591417.

The spelling of 682363008 in words is "six hundred eighty-two million, three hundred sixty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 347 384 432 569 576 694 864 1041 1138 1152 1388 1707 1728 2082 2276 2776 3123 3414 3456 4164 4552 5121 5552 6246 6828 8328 9104 9369 10242 11104 12492 13656 15363 16656 18208 18738 20484 22208 24984 27312 30726 33312 36416 37476 40968 44416 49968 54624 61452 66624 72832 74952 81936 99936 109248 122904 133248 149904 163872 197443 199872 218496 245808 299808 327744 394886 399744 491616 592329 599616 655488 789772 983232 1184658 1199232 1579544 1776987 1966464 2369316 3159088 3553974 4738632 5330961 6318176 7107948 9477264 10661922 12636352 14215896 18954528 21323844 25272704 28431792 37909056 42647688 56863584 75818112 85295376 113727168 170590752 227454336 341181504 682363008