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86768416 = 257255337
BaseRepresentation
bin1010010101111…
…11101100100000
320001021021220001
411022333230200
5134203042131
612335425344
72102343100
oct512775440
9201237801
1086768416
1144a84439
1225085254
1314c90077
14b749200
15793e261
hex52bfb20

86768416 has 36 divisors (see below), whose sum is σ = 198718758. Its totient is φ = 37185792.

The previous prime is 86768399. The next prime is 86768419. The reversal of 86768416 is 61486768.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 77792400 + 8976016 = 8820^2 + 2996^2 .

It is not an unprimeable number, because it can be changed into a prime (86768419) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26101 + ... + 29236.

Almost surely, 286768416 is an apocalyptic number.

It is an amenable number.

86768416 is an abundant number, since it is smaller than the sum of its proper divisors (111950342).

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

86768416 is a wasteful number, since it uses less digits than its factorization.

86768416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55361 (or 55346 counting only the distinct ones).

The product of its digits is 387072, while the sum is 46.

The square root of 86768416 is about 9314.9565753148. The cubic root of 86768416 is about 442.7112481511.

The spelling of 86768416 in words is "eighty-six million, seven hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 55337 110674 221348 387359 442696 774718 885392 1549436 1770784 2711513 3098872 5423026 6197744 10846052 12395488 21692104 43384208 86768416