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86381919 = 32131674421
BaseRepresentation
bin1010010011000…
…01010101011111
320000112122201100
411021201111133
5134103210134
612323244143
72066143221
oct511412537
9200478640
1086381919
1144840018
1224b19653
1314b86180
14b688411
1578b4999
hex526155f

86381919 has 24 divisors (see below), whose sum is σ = 135207072. Its totient is φ = 52827840.

The previous prime is 86381909. The next prime is 86381921. The reversal of 86381919 is 91918368.

86381919 is a `hidden beast` number, since 8 + 638 + 1 + 9 + 1 + 9 = 666.

It is not a de Polignac number, because 86381919 - 28 = 86381663 is a prime.

It is a super-2 number, since 2×863819192 = 14923671860245122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86381909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17329 + ... + 21749.

It is an arithmetic number, because the mean of its divisors is an integer number (5633628).

Almost surely, 286381919 is an apocalyptic number.

86381919 is a deficient number, since it is larger than the sum of its proper divisors (48825153).

86381919 is a wasteful number, since it uses less digits than its factorization.

86381919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4607 (or 4604 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 86381919 is about 9294.1873770653. The cubic root of 86381919 is about 442.0529392717.

The spelling of 86381919 in words is "eighty-six million, three hundred eighty-one thousand, nine hundred nineteen".

Divisors: 1 3 9 13 39 117 167 501 1503 2171 4421 6513 13263 19539 39789 57473 172419 517257 738307 2214921 6644763 9597991 28793973 86381919