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82876608 = 2635732
BaseRepresentation
bin1001111000010…
…01100011000000
312202221120100000
410330021203000
5132204022413
612120200000
72024303523
oct474114300
9182846300
1082876608
1142866471
1223909000
1314229819
14b014bba
157421073
hex4f098c0

82876608 has 126 divisors (see below), whose sum is σ = 249769884. Its totient is φ = 27247104.

The previous prime is 82876603. The next prime is 82876637. The reversal of 82876608 is 80667828.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not an unprimeable number, because it can be changed into a prime (82876601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1135260 + ... + 1135332.

Almost surely, 282876608 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 82876608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124884942).

82876608 is an abundant number, since it is smaller than the sum of its proper divisors (166893276).

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

82876608 is an frugal number, since it uses more digits than its factorization.

82876608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 82876608 is about 9103.6590445820. The cubic root of 82876608 is about 435.9907974378.

The spelling of 82876608 in words is "eighty-two million, eight hundred seventy-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 81 96 108 144 146 162 192 216 219 243 288 292 324 432 438 486 576 584 648 657 864 876 972 1168 1296 1314 1728 1752 1944 1971 2336 2592 2628 3504 3888 3942 4672 5184 5256 5329 5913 7008 7776 7884 10512 10658 11826 14016 15552 15768 15987 17739 21024 21316 23652 31536 31974 35478 42048 42632 47304 47961 63072 63948 70956 85264 94608 95922 126144 127896 141912 143883 170528 189216 191844 255792 283824 287766 341056 378432 383688 431649 511584 567648 575532 767376 863298 1023168 1135296 1151064 1294947 1534752 1726596 2302128 2589894 3069504 3453192 4604256 5179788 6906384 9208512 10359576 13812768 20719152 27625536 41438304 82876608