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86343936 = 283716061
BaseRepresentation
bin1010010010110…
…00000100000000
320000110201121120
411021120010000
5134101001221
612322352240
72065624410
oct511300400
9200421546
1086343936
1144814528
1224abb680
1314b71ab3
14b678640
1578a85c6
hex5258100

86343936 has 72 divisors (see below), whose sum is σ = 262645824. Its totient is φ = 24668160.

The previous prime is 86343931. The next prime is 86343941. The reversal of 86343936 is 63934368.

It is an interprime number because it is at equal distance from previous prime (86343931) and next prime (86343941).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (86343931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2655 + ... + 13406.

Almost surely, 286343936 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 86343936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131322912).

86343936 is an abundant number, since it is smaller than the sum of its proper divisors (176301888).

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

86343936 is a wasteful number, since it uses less digits than its factorization.

86343936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16087 (or 16073 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 86343936 is about 9292.1437784830. The cubic root of 86343936 is about 441.9881380627.

The spelling of 86343936 in words is "eighty-six million, three hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 16061 32122 48183 64244 96366 112427 128488 192732 224854 256976 337281 385464 449708 513952 674562 770928 899416 1027904 1349124 1541856 1798832 2055808 2698248 3083712 3597664 4111616 5396496 6167424 7195328 10792992 12334848 14390656 21585984 28781312 43171968 86343936