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676626048 = 273479323
BaseRepresentation
bin101000010101000…
…111111010000000
31202011012011110000
4220111013322000
52341204013143
6151050240000
722524140460
oct5025077200
91664164400
10676626048
11317a3518a
1216a726000
13aa247357
1465c11ba0
153e606bd3
hex28547e80

676626048 has 160 divisors (see below), whose sum is σ = 2301536160. Its totient is φ = 193300992.

The previous prime is 676626023. The next prime is 676626089. The reversal of 676626048 is 840626676.

It is a junction number, because it is equal to n+sod(n) for n = 676625994 and 676626012.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67915 + ... + 77237.

It is an arithmetic number, because the mean of its divisors is an integer number (14384601).

Almost surely, 2676626048 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 676626048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150768080).

676626048 is an abundant number, since it is smaller than the sum of its proper divisors (1624910112).

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

676626048 is an equidigital number, since it uses as much as digits as its factorization.

676626048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9356 (or 9335 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 676626048 is about 26012.0365984673. The cubic root of 676626048 is about 877.9091407856.

The spelling of 676626048 in words is "six hundred seventy-six million, six hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 9323 10368 12096 18144 18646 24192 27969 36288 37292 55938 65261 72576 74584 83907 111876 130522 149168 167814 195783 223752 251721 261044 298336 335628 391566 447504 503442 522088 587349 596672 671256 755163 783132 895008 1006884 1044176 1174698 1193344 1342512 1510326 1566264 1762047 1790016 2013768 2088352 2349396 2685024 3020652 3132528 3524094 3580032 4027536 4176704 4698792 5286141 5370048 6041304 6265056 7048188 8055072 8353408 9397584 10572282 10740096 12082608 12530112 14096376 16110144 18795168 21144564 24165216 25060224 28192752 32220288 37590336 42289128 48330432 56385504 75180672 84578256 96660864 112771008 169156512 225542016 338313024 676626048