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86729904 = 24322692239
BaseRepresentation
bin1010010101101…
…10010010110000
320001012100001200
411022312102300
5134200324104
612334531200
72102122602
oct512662260
9201170050
1086729904
1144a58508
1225066b00
1314c78691
14b739172
157932b39
hex52b64b0

86729904 has 60 divisors (see below), whose sum is σ = 243734400. Its totient is φ = 28789632.

The previous prime is 86729893. The next prime is 86729911. The reversal of 86729904 is 40992768.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 86729904.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37617 + ... + 39855.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 286729904 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 86729904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

86729904 is an abundant number, since it is smaller than the sum of its proper divisors (157004496).

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

86729904 is a wasteful number, since it uses less digits than its factorization.

86729904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 86729904 is about 9312.8891328094. The cubic root of 86729904 is about 442.6457396036.

The spelling of 86729904 in words is "eighty-six million, seven hundred twenty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 269 538 807 1076 1614 2152 2239 2421 3228 4304 4478 4842 6456 6717 8956 9684 12912 13434 17912 19368 20151 26868 35824 38736 40302 53736 80604 107472 161208 322416 602291 1204582 1806873 2409164 3613746 4818328 5420619 7227492 9636656 10841238 14454984 21682476 28909968 43364952 86729904