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86884304 = 24131373049
BaseRepresentation
bin1010010110110…
…11111111010000
320001111011212012
411023123333100
5134220244204
612342122052
72103335003
oct513337720
9201434765
1086884304
1145053511
1225120328
1315000a40
14b77953a
15796376e
hex52dbfd0

86884304 has 40 divisors (see below), whose sum is σ = 182670600. Its totient is φ = 39794688.

The previous prime is 86884277. The next prime is 86884307. The reversal of 86884304 is 40348868.

It can be written as a sum of positive squares in 4 ways, for example, as 21904 + 86862400 = 148^2 + 9320^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86884307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26972 + ... + 30020.

It is an arithmetic number, because the mean of its divisors is an integer number (4566765).

Almost surely, 286884304 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 86884304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91335300).

86884304 is an abundant number, since it is smaller than the sum of its proper divisors (95786296).

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

86884304 is a wasteful number, since it uses less digits than its factorization.

86884304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 86884304 is about 9321.1750332241. The cubic root of 86884304 is about 442.9082556931.

The spelling of 86884304 in words is "eighty-six million, eight hundred eighty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 137 208 274 548 1096 1781 2192 3049 3562 6098 7124 12196 14248 24392 28496 39637 48784 79274 158548 317096 417713 634192 835426 1670852 3341704 5430269 6683408 10860538 21721076 43442152 86884304