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86952656 = 2472110909
BaseRepresentation
bin1010010111011…
…00101011010000
320001121122121202
411023230223100
5134224441111
612343410332
72104041200
oct513545320
9201548552
1086952656
114509a8aa
12251539a8
1315025b9b
14b796400
157978b3b
hex52ecad0

86952656 has 30 divisors (see below), whose sum is σ = 195977970. Its totient is φ = 37265088.

The previous prime is 86952631. The next prime is 86952661. The reversal of 86952656 is 65625968.

It can be written as a sum of positive squares in only one way, i.e., 81288256 + 5664400 = 9016^2 + 2380^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86952656.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 54671 + ... + 56238.

It is an arithmetic number, because the mean of its divisors is an integer number (6532599).

Almost surely, 286952656 is an apocalyptic number.

It is an amenable number.

86952656 is an abundant number, since it is smaller than the sum of its proper divisors (109025314).

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

86952656 is a wasteful number, since it uses less digits than its factorization.

86952656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110931 (or 110918 counting only the distinct ones).

The product of its digits is 777600, while the sum is 47.

The square root of 86952656 is about 9324.8408029306. The cubic root of 86952656 is about 443.0243707580.

The spelling of 86952656 in words is "eighty-six million, nine hundred fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 110909 221818 443636 776363 887272 1552726 1774544 3105452 5434541 6210904 10869082 12421808 21738164 43476328 86952656