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86193104 = 24294312
BaseRepresentation
bin1010010001100…
…11001111010000
320000012001201012
411020303033100
5134031134404
612315230052
72064425564
oct510631720
9200161635
1086193104
1144721178
1224a48328
1314b1b24a
14b6396a4
157878a6e
hex52333d0

86193104 has 30 divisors (see below), whose sum is σ = 173159490. Its totient is φ = 41513920.

The previous prime is 86193103. The next prime is 86193109. The reversal of 86193104 is 40139168.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 74304400 + 11888704 = 8620^2 + 3448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86193103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 199769 + ... + 200199.

It is an arithmetic number, because the mean of its divisors is an integer number (5771983).

Almost surely, 286193104 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 86193104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86579745).

86193104 is an abundant number, since it is smaller than the sum of its proper divisors (86966386).

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

86193104 is an equidigital number, since it uses as much as digits as its factorization.

86193104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 86193104 is about 9284.0241274999. The cubic root of 86193104 is about 441.7306221534.

The spelling of 86193104 in words is "eighty-six million, one hundred ninety-three thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 431 464 862 1724 3448 6896 12499 24998 49996 99992 185761 199984 371522 743044 1486088 2972176 5387069 10774138 21548276 43096552 86193104