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86673408 = 211314107
BaseRepresentation
bin1010010101010…
…00100000000000
320001002110120020
411022220200000
5134142022113
612333413440
72101466103
oct512504000
9201073506
1086673408
1144a1a018
122503a280
1314c58a53
14b72273a
157921023
hex52a8800

86673408 has 48 divisors (see below), whose sum is σ = 231089040. Its totient is φ = 28889088.

The previous prime is 86673403. The next prime is 86673409. The reversal of 86673408 is 80437668.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 86673408.

It is not an unprimeable number, because it can be changed into a prime (86673401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 910 + ... + 13197.

It is an arithmetic number, because the mean of its divisors is an integer number (4814355).

Almost surely, 286673408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86673408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115544520).

86673408 is an abundant number, since it is smaller than the sum of its proper divisors (144415632).

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

86673408 is a wasteful number, since it uses less digits than its factorization.

86673408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14132 (or 14112 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 86673408 is about 9309.8554231524. The cubic root of 86673408 is about 442.5496053425.

The spelling of 86673408 in words is "eighty-six million, six hundred seventy-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 14107 28214 42321 56428 84642 112856 169284 225712 338568 451424 677136 902848 1354272 1805696 2708544 3611392 5417088 7222784 10834176 14445568 21668352 28891136 43336704 86673408