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86254336 = 287127379
BaseRepresentation
bin1010010010000…
…10001100000000
320000022011201001
411021002030000
5134040114321
612320421344
72065102240
oct511021400
9200264631
1086254336
1144763183
1224a77854
1314b4008c
14b653b20
15788bc91
hex5242300

86254336 has 72 divisors (see below), whose sum is σ = 198840320. Its totient is φ = 36578304.

The previous prime is 86254321. The next prime is 86254339. The reversal of 86254336 is 63345268.

It is a junction number, because it is equal to n+sod(n) for n = 86254295 and 86254304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86254339) 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, 227395 + ... + 227773.

Almost surely, 286254336 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 86254336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99420160).

86254336 is an abundant number, since it is smaller than the sum of its proper divisors (112585984).

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

86254336 is a wasteful number, since it uses less digits than its factorization.

86254336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 515 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 86254336 is about 9287.3212499622. The cubic root of 86254336 is about 441.8351999201.

The spelling of 86254336 in words is "eighty-six million, two hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 127 128 224 254 256 379 448 508 758 889 896 1016 1516 1778 1792 2032 2653 3032 3556 4064 5306 6064 7112 8128 10612 12128 14224 16256 21224 24256 28448 32512 42448 48133 48512 56896 84896 96266 97024 113792 169792 192532 227584 336931 339584 385064 673862 679168 770128 1347724 1540256 2695448 3080512 5390896 6161024 10781792 12322048 21563584 43127168 86254336