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86929381 = 72111753179
BaseRepresentation
bin1010010111001…
…10111111100101
320001120110200201
411023212333211
5134223220011
612343110501
72103613300
oct513467745
9201513621
1086929381
1145084370
1225142431
1315018406
14b78bb37
157971cc1
hex52e6fe5

86929381 has 48 divisors (see below), whose sum is σ = 119672640. Its totient is φ = 62200320.

The previous prime is 86929379. The next prime is 86929411. The reversal of 86929381 is 18392968.

It is not a de Polignac number, because 86929381 - 21 = 86929379 is a prime.

It is a super-2 number, since 2×869293812 = 15113434562086322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86929321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485550 + ... + 485728.

It is an arithmetic number, because the mean of its divisors is an integer number (2493180).

Almost surely, 286929381 is an apocalyptic number.

It is an amenable number.

86929381 is a deficient number, since it is larger than the sum of its proper divisors (32743259).

86929381 is a wasteful number, since it uses less digits than its factorization.

86929381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 267 counting only the distinct ones).

The product of its digits is 186624, while the sum is 46.

The square root of 86929381 is about 9323.5927088221. The cubic root of 86929381 is about 442.9848384697.

The spelling of 86929381 in words is "eighty-six million, nine hundred twenty-nine thousand, three hundred eighty-one".

Divisors: 1 7 11 17 49 53 77 119 179 187 371 539 583 833 901 1253 1309 1969 2597 3043 4081 6307 8771 9163 9487 9911 13783 21301 28567 33473 44149 66409 69377 96481 104357 149107 161279 234311 464863 485639 730499 1128953 1640177 1774069 5113493 7902671 12418483 86929381