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86440446 = 236101587
BaseRepresentation
bin1010010011011…
…11100111111110
320000122122000000
411021233213332
5134112043241
612324415130
72066505651
oct511574776
9200578000
1086440446
114487aa94
1224b474a6
1314ba69c1
14b6a1898
1578c6eb6
hex526f9fe

86440446 has 56 divisors (see below), whose sum is σ = 196661304. Its totient is φ = 28479600.

The previous prime is 86440429. The next prime is 86440447. The reversal of 86440446 is 64404468.

86440446 is a `hidden beast` number, since 8 + 644 + 0 + 4 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 86440446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86440447) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 146965 + ... + 147551.

It is an arithmetic number, because the mean of its divisors is an integer number (3511809).

Almost surely, 286440446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86440446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98330652).

86440446 is an abundant number, since it is smaller than the sum of its proper divisors (110220858).

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

86440446 is a wasteful number, since it uses less digits than its factorization.

86440446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 86440446 is about 9297.3354247333. The cubic root of 86440446 is about 442.1527525652.

The spelling of 86440446 in words is "eighty-six million, four hundred forty thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 243 303 486 587 606 729 909 1174 1458 1761 1818 2727 3522 5283 5454 8181 10566 15849 16362 24543 31698 47547 49086 59287 73629 95094 118574 142641 147258 177861 285282 355722 427923 533583 855846 1067166 1600749 3201498 4802247 9604494 14406741 28813482 43220223 86440446