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82676928 = 263676427
BaseRepresentation
bin1001110110110…
…00110011000000
312202120102102110
410323120303000
5132131130203
612112015320
72022512415
oct473306300
9182512373
1082676928
114273a444
1223831540
1314189979
14ada210c
1573d1d03
hex4ed8cc0

82676928 has 56 divisors (see below), whose sum is σ = 222048832. Its totient is φ = 27143424.

The previous prime is 82676911. The next prime is 82676959. The reversal of 82676928 is 82967628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9651 + ... + 16077.

Almost surely, 282676928 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 82676928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111024416).

82676928 is an abundant number, since it is smaller than the sum of its proper divisors (139371904).

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

82676928 is a wasteful number, since it uses less digits than its factorization.

82676928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6509 (or 6499 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 82676928 is about 9092.6854119121. The cubic root of 82676928 is about 435.6403621865.

The spelling of 82676928 in words is "eighty-two million, six hundred seventy-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 804 1072 1608 2144 3216 4288 6427 6432 12854 12864 19281 25708 38562 51416 77124 102832 154248 205664 308496 411328 430609 616992 861218 1233984 1291827 1722436 2583654 3444872 5167308 6889744 10334616 13779488 20669232 27558976 41338464 82676928