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676832256 = 210322712
BaseRepresentation
bin101000010101111…
…010010000000000
31202011120122022100
4220111322100000
52341232113011
6151054510400
722525656612
oct5025722000
91664518270
10676832256
11318066101
1216a805400
13aa2ba179
1465c66db2
153e647d56
hex2857a400

676832256 has 99 divisors (see below), whose sum is σ = 1961576643. Its totient is φ = 224778240.

The previous prime is 676832239. The next prime is 676832257. The reversal of 676832256 is 652238676.

It is a happy number.

The square root of 676832256 is 26016.

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

It is not an unprimeable number, because it can be changed into a prime (676832257) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2497401 + ... + 2497671.

Almost surely, 2676832256 is an apocalyptic number.

676832256 is the 26016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676832256

676832256 is an abundant number, since it is smaller than the sum of its proper divisors (1284744387).

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

676832256 is an equidigital number, since it uses as much as digits as its factorization.

676832256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 276 counting only the distinct ones).

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

The cubic root of 676832256 is about 877.9983153507.

The spelling of 676832256 in words is "six hundred seventy-six million, eight hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 271 288 384 512 542 576 768 813 1024 1084 1152 1536 1626 2168 2304 2439 3072 3252 4336 4608 4878 6504 8672 9216 9756 13008 17344 19512 26016 34688 39024 52032 69376 73441 78048 104064 138752 146882 156096 208128 220323 277504 293764 312192 416256 440646 587528 624384 660969 832512 881292 1175056 1248768 1321938 1762584 2350112 2497536 2643876 3525168 4700224 5287752 7050336 9400448 10575504 14100672 18800896 21151008 28201344 37601792 42302016 56402688 75203584 84604032 112805376 169208064 225610752 338416128 676832256