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82778696 = 237111310337
BaseRepresentation
bin1001110111100…
…01101001001000
312202202121000122
410323301221020
5132142404241
612114122412
72023415210
oct473615110
9182677018
1082778696
11427a9950
1223880408
13141c40a0
14adcb240
15740204b
hex4ef1a48

82778696 has 64 divisors (see below), whose sum is σ = 208414080. Its totient is φ = 29767680.

The previous prime is 82778693. The next prime is 82778699. The reversal of 82778696 is 69687728.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82778693) and next prime (82778699).

It is a super-2 number, since 2×827786962 = 13704625022920832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82778693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2840 + ... + 13176.

It is an arithmetic number, because the mean of its divisors is an integer number (3256470).

Almost surely, 282778696 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 82778696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104207040).

82778696 is an abundant number, since it is smaller than the sum of its proper divisors (125635384).

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

82778696 is a wasteful number, since it uses less digits than its factorization.

82778696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10374 (or 10370 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 53.

The square root of 82778696 is about 9098.2798374198. The cubic root of 82778696 is about 435.8190338400.

The spelling of 82778696 in words is "eighty-two million, seven hundred seventy-eight thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 10337 20674 41348 72359 82696 113707 134381 144718 227414 268762 289436 454828 537524 578872 795949 909656 940667 1075048 1478191 1591898 1881334 2956382 3183796 3762668 5912764 6367592 7525336 10347337 11825528 20694674 41389348 82778696