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86394448 = 2472263419
BaseRepresentation
bin1010010011001…
…00011001010000
320000120021220101
411021210121100
5134104110243
612323422144
72066224600
oct511443120
9200507811
1086394448
1144849478
1224b24954
1314b8ba9a
14b68cc00
1578b854d
hex5264650

86394448 has 60 divisors (see below), whose sum is σ = 195924960. Its totient is φ = 36797376.

The previous prime is 86394409. The next prime is 86394481. The reversal of 86394448 is 84449368.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 86394398 and 86394407.

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, 205983 + ... + 206401.

It is an arithmetic number, because the mean of its divisors is an integer number (3265416).

Almost surely, 286394448 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 86394448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97962480).

86394448 is an abundant number, since it is smaller than the sum of its proper divisors (109530512).

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

86394448 is a wasteful number, since it uses less digits than its factorization.

86394448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 691 counting only the distinct ones).

The product of its digits is 663552, while the sum is 46.

The square root of 86394448 is about 9294.8613760507. The cubic root of 86394448 is about 442.0743103086.

The spelling of 86394448 in words is "eighty-six million, three hundred ninety-four thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 263 392 419 526 784 838 1052 1676 1841 2104 2933 3352 3682 4208 5866 6704 7364 11732 12887 14728 20531 23464 25774 29456 41062 46928 51548 82124 103096 110197 164248 206192 220394 328496 440788 771379 881576 1542758 1763152 3085516 5399653 6171032 10799306 12342064 21598612 43197224 86394448