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86888648 = 23711212823
BaseRepresentation
bin1010010110111…
…01000011001000
320001111101211002
411023131003020
5134220414043
612342154132
72103353450
oct513350310
9201441732
1086888648
1145056800
1225122948
1315002a02
14b77ad60
157964bb8
hex52dd0c8

86888648 has 48 divisors (see below), whose sum is σ = 204671040. Its totient is φ = 33850080.

The previous prime is 86888647. The next prime is 86888719. The reversal of 86888648 is 84688868.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 86888593 and 86888602.

It is not an unprimeable number, because it can be changed into a prime (86888647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 365 + ... + 13187.

It is an arithmetic number, because the mean of its divisors is an integer number (4263980).

Almost surely, 286888648 is an apocalyptic number.

86888648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86888648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102335520).

86888648 is an abundant number, since it is smaller than the sum of its proper divisors (117782392).

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

86888648 is a wasteful number, since it uses less digits than its factorization.

86888648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12858 (or 12843 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 56.

The square root of 86888648 is about 9321.4080481438. The cubic root of 86888648 is about 442.9156370087.

The spelling of 86888648 in words is "eighty-six million, eight hundred eighty-eight thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 968 1694 3388 6776 12823 25646 51292 89761 102584 141053 179522 282106 359044 564212 718088 987371 1128424 1551583 1974742 3103166 3949484 6206332 7898968 10861081 12412664 21722162 43444324 86888648