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86122413 = 33131311873
BaseRepresentation
bin1010010001000…
…01111110101101
320000001110202000
411020201332231
5134021404123
612313522513
72064012516
oct510417655
9200043660
1086122413
1144683053
1224a13439
1314ac5010
14b61ba0d
157862b43
hex5221fad

86122413 has 32 divisors (see below), whose sum is σ = 138526080. Its totient is φ = 52565760.

The previous prime is 86122411. The next prime is 86122417. The reversal of 86122413 is 31422168.

86122413 is a `hidden beast` number, since 8 + 612 + 2 + 41 + 3 = 666.

It is not a de Polignac number, because 86122413 - 21 = 86122411 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86122411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45045 + ... + 46917.

It is an arithmetic number, because the mean of its divisors is an integer number (4328940).

Almost surely, 286122413 is an apocalyptic number.

It is an amenable number.

86122413 is a deficient number, since it is larger than the sum of its proper divisors (52403667).

86122413 is a wasteful number, since it uses less digits than its factorization.

86122413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2020 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 86122413 is about 9280.2162151536. The cubic root of 86122413 is about 441.6098278029.

It can be divided in two parts, 8612 and 2413, that added together give a square (11025 = 1052).

The spelling of 86122413 in words is "eighty-six million, one hundred twenty-two thousand, four hundred thirteen".

Divisors: 1 3 9 13 27 39 117 131 351 393 1179 1703 1873 3537 5109 5619 15327 16857 24349 45981 50571 73047 219141 245363 657423 736089 2208267 3189719 6624801 9569157 28707471 86122413