Search a number
-
+
86363616 = 2536611361
BaseRepresentation
bin1010010010111…
…00110111100000
320000111201121110
411021130313200
5134102113431
612323023320
72066035653
oct511346740
9200451543
1086363616
1144828299
1224b0ab40
1314b7aa41
14b68189a
1578ae346
hex525cde0

86363616 has 48 divisors (see below), whose sum is σ = 227214288. Its totient is φ = 28723200.

The previous prime is 86363611. The next prime is 86363639. The reversal of 86363616 is 61636368.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86363611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62776 + ... + 64136.

It is an arithmetic number, because the mean of its divisors is an integer number (4733631).

Almost surely, 286363616 is an apocalyptic number.

It is an amenable number.

86363616 is an abundant number, since it is smaller than the sum of its proper divisors (140850672).

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

86363616 is a wasteful number, since it uses less digits than its factorization.

86363616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2027 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 86363616 is about 9293.2026772260. The cubic root of 86363616 is about 442.0217156601.

The spelling of 86363616 in words is "eighty-six million, three hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 661 1322 1361 1983 2644 2722 3966 4083 5288 5444 7932 8166 10576 10888 15864 16332 21152 21776 31728 32664 43552 63456 65328 130656 899621 1799242 2698863 3598484 5397726 7196968 10795452 14393936 21590904 28787872 43181808 86363616