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86673216 = 263764489
BaseRepresentation
bin1010010101010…
…00011101000000
320001002110022010
411022220131000
5134142020331
612333412520
72101465410
oct512503500
9201073263
1086673216
1144a19963
122503a140
1314c58936
14b722640
157920e46
hex52a8740

86673216 has 56 divisors (see below), whose sum is σ = 262087360. Its totient is φ = 24763392.

The previous prime is 86673211. The next prime is 86673227. The reversal of 86673216 is 61237668.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×866732163 (a number of 25 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86673211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30901 + ... + 33588.

Almost surely, 286673216 is an apocalyptic number.

It is an amenable number.

86673216 is an abundant number, since it is smaller than the sum of its proper divisors (175414144).

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

86673216 is a wasteful number, since it uses less digits than its factorization.

86673216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64511 (or 64501 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 86673216 is about 9309.8451114935. The cubic root of 86673216 is about 442.5492785619.

The spelling of 86673216 in words is "eighty-six million, six hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 64489 128978 193467 257956 386934 451423 515912 773868 902846 1031824 1354269 1547736 1805692 2063648 2708538 3095472 3611384 4127296 5417076 6190944 7222768 10834152 12381888 14445536 21668304 28891072 43336608 86673216