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86378841 = 3241234089
BaseRepresentation
bin1010010011000…
…00100101011001
320000112111111100
411021200211121
5134103110331
612323222013
72066131233
oct511404531
9200474440
1086378841
114483877a
1224b17909
1314b84953
14b687253
1578b3ae6
hex5260959

86378841 has 12 divisors (see below), whose sum is σ = 127813140. Its totient is φ = 56181120.

The previous prime is 86378839. The next prime is 86378857. The reversal of 86378841 is 14887368.

86378841 is a `hidden beast` number, since 8 + 637 + 8 + 8 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36252441 + 50126400 = 6021^2 + 7080^2 .

It is not a de Polignac number, because 86378841 - 21 = 86378839 is a prime.

It is a super-2 number, since 2×863788412 = 14922608345006562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86378801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116676 + ... + 117413.

It is an arithmetic number, because the mean of its divisors is an integer number (10651095).

Almost surely, 286378841 is an apocalyptic number.

It is an amenable number.

86378841 is a deficient number, since it is larger than the sum of its proper divisors (41434299).

86378841 is a wasteful number, since it uses less digits than its factorization.

86378841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234136 (or 234133 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 86378841 is about 9294.0217882249. The cubic root of 86378841 is about 442.0476887319.

The spelling of 86378841 in words is "eighty-six million, three hundred seventy-eight thousand, eight hundred forty-one".

Divisors: 1 3 9 41 123 369 234089 702267 2106801 9597649 28792947 86378841