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86461968 = 2432378317
BaseRepresentation
bin1010010011101…
…00111000010000
320000200201112010
411021310320100
5134113240333
612325102520
72066625465
oct511647020
9200621463
1086461968
114489517a
1224b57a40
1314bb3738
14b6a966c
1578cd563
hex5274e10

86461968 has 40 divisors (see below), whose sum is σ = 233074368. Its totient is φ = 27567232.

The previous prime is 86461967. The next prime is 86461993. The reversal of 86461968 is 86916468.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (86461967) 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 7 ways as a sum of consecutive naturals, for example, 38055 + ... + 40262.

Almost surely, 286461968 is an apocalyptic number.

It is an amenable number.

86461968 is an abundant number, since it is smaller than the sum of its proper divisors (146612400).

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

86461968 is a wasteful number, since it uses less digits than its factorization.

86461968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78351 (or 78345 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 86461968 is about 9298.4927810909. The cubic root of 86461968 is about 442.1894453493.

The spelling of 86461968 in words is "eighty-six million, four hundred sixty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 78317 156634 234951 313268 469902 626536 939804 1253072 1801291 1879608 3602582 3759216 5403873 7205164 10807746 14410328 21615492 28820656 43230984 86461968