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82787056 = 24113712713
BaseRepresentation
bin1001110111100…
…11101011110000
312202210000111021
410323303223300
5132143141211
612114225224
72023451452
oct473635360
9182700437
1082787056
1142805160
1223885214
13141c7b31
14add02d2
157404771
hex4ef3af0

82787056 has 40 divisors (see below), whose sum is σ = 179725104. Its totient is φ = 36610560.

The previous prime is 82787041. The next prime is 82787063. The reversal of 82787056 is 65078728.

It is a happy number.

It is a super-2 number, since 2×827870562 = 13707393282294272, which contains 22 as substring.

It is a congruent number.

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, 156 + ... + 12868.

Almost surely, 282787056 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 82787056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89862552).

82787056 is an abundant number, since it is smaller than the sum of its proper divisors (96938048).

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

82787056 is a wasteful number, since it uses less digits than its factorization.

82787056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12769 (or 12763 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 43.

The square root of 82787056 is about 9098.7392533252. The cubic root of 82787056 is about 435.8337047826.

The spelling of 82787056 in words is "eighty-two million, seven hundred eighty-seven thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 592 814 1628 3256 6512 12713 25426 50852 101704 139843 203408 279686 470381 559372 940762 1118744 1881524 2237488 3763048 5174191 7526096 10348382 20696764 41393528 82787056