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86195408 = 24132127251
BaseRepresentation
bin1010010001100…
…11110011010000
320000012011212112
411020303303100
5134031223113
612315244452
72064435365
oct510636320
9200164775
1086195408
1144722982
1224a49728
1314b1c300
14b63a46c
1578795a8
hex5233cd0

86195408 has 60 divisors (see below), whose sum is σ = 182988288. Its totient is φ = 39312000.

The previous prime is 86195393. The next prime is 86195411. The reversal of 86195408 is 80459168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 343283 + ... + 343533.

Almost surely, 286195408 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 86195408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91494144).

86195408 is an abundant number, since it is smaller than the sum of its proper divisors (96792880).

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

86195408 is a wasteful number, since it uses less digits than its factorization.

86195408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 86195408 is about 9284.1482107946. The cubic root of 86195408 is about 441.7345580378.

It can be divided in two parts, 861 and 95408, that added together give a palindrome (96269).

The spelling of 86195408 in words is "eighty-six million, one hundred ninety-five thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 52 104 127 169 208 251 254 338 502 508 676 1004 1016 1352 1651 2008 2032 2704 3263 3302 4016 6526 6604 13052 13208 21463 26104 26416 31877 42419 42926 52208 63754 84838 85852 127508 169676 171704 255016 339352 343408 414401 510032 678704 828802 1657604 3315208 5387213 6630416 10774426 21548852 43097704 86195408