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86849472 = 2632371277
BaseRepresentation
bin1010010110100…
…11011111000000
320001102102002010
411023103133000
5134213140342
612341252520
72103131313
oct513233700
9201372063
1086849472
114502a326
1225104140
1314cbac28
14b76a97a
15795829c
hex52d37c0

86849472 has 112 divisors (see below), whose sum is σ = 244035072. Its totient is φ = 27202560.

The previous prime is 86849459. The next prime is 86849473. The reversal of 86849472 is 27494868.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86849473) 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 15 ways as a sum of consecutive naturals, for example, 313398 + ... + 313674.

Almost surely, 286849472 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 86849472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122017536).

86849472 is an abundant number, since it is smaller than the sum of its proper divisors (157185600).

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

86849472 is a wasteful number, since it uses less digits than its factorization.

86849472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 86849472 is about 9319.3064119601. The cubic root of 86849472 is about 442.8490603351.

The spelling of 86849472 in words is "eighty-six million, eight hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 71 92 96 138 142 184 192 213 276 277 284 368 426 552 554 568 736 831 852 1104 1108 1136 1472 1633 1662 1704 2208 2216 2272 3266 3324 3408 4416 4432 4544 4899 6371 6532 6648 6816 8864 9798 12742 13064 13296 13632 17728 19113 19596 19667 25484 26128 26592 38226 39192 39334 50968 52256 53184 59001 76452 78384 78668 101936 104512 118002 152904 156768 157336 203872 236004 305808 313536 314672 407744 452341 472008 611616 629344 904682 944016 1223232 1258688 1357023 1809364 1888032 2714046 3618728 3776064 5428092 7237456 10856184 14474912 21712368 28949824 43424736 86849472