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86448992 = 257419413
BaseRepresentation
bin1010010011100…
…01101101100000
320000200001201112
411021301231200
5134112331432
612324522452
72066542610
oct511615540
9200601645
1086448992
1144886453
1224b50428
1314baa866
14b6a4a40
1578c97b2
hex5271b60

86448992 has 48 divisors (see below), whose sum is σ = 199275552. Its totient is φ = 36142080.

The previous prime is 86448911. The next prime is 86448997. The reversal of 86448992 is 29984468.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 86448992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86448997) 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, 4478 + ... + 13890.

It is an arithmetic number, because the mean of its divisors is an integer number (4151574).

Almost surely, 286448992 is an apocalyptic number.

86448992 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86448992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99637776).

86448992 is an abundant number, since it is smaller than the sum of its proper divisors (112826560).

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

86448992 is a wasteful number, since it uses less digits than its factorization.

86448992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9471 (or 9463 counting only the distinct ones).

The product of its digits is 995328, while the sum is 50.

The square root of 86448992 is about 9297.7950074198. The cubic root of 86448992 is about 442.1673233403.

The spelling of 86448992 in words is "eighty-six million, four hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2296 4592 9184 9413 18826 37652 65891 75304 131782 150608 263564 301216 385933 527128 771866 1054256 1543732 2108512 2701531 3087464 5403062 6174928 10806124 12349856 21612248 43224496 86448992