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86438976 = 2631334631
BaseRepresentation
bin1010010011011…
…11010001000000
320000122112222120
411021233101000
5134112021401
612324404240
72066501451
oct511572100
9200575876
1086438976
1144879978
1224b46680
1314ba6130
14b6a1128
1578c6836
hex526f440

86438976 has 56 divisors (see below), whose sum is σ = 246302784. Its totient is φ = 26595840.

The previous prime is 86438971. The next prime is 86438981. The reversal of 86438976 is 67983468.

It is an interprime number because it is at equal distance from previous prime (86438971) and next prime (86438981).

It is not an unprimeable number, because it can be changed into a prime (86438971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14820 + ... + 19811.

It is an arithmetic number, because the mean of its divisors is an integer number (4398264).

Almost surely, 286438976 is an apocalyptic number.

It is an amenable number.

86438976 is an abundant number, since it is smaller than the sum of its proper divisors (159863808).

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

86438976 is a wasteful number, since it uses less digits than its factorization.

86438976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34659 (or 34649 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 86438976 is about 9297.2563694888. The cubic root of 86438976 is about 442.1502461450.

The spelling of 86438976 in words is "eighty-six million, four hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 34631 69262 103893 138524 207786 277048 415572 450203 554096 831144 900406 1108192 1350609 1662288 1800812 2216384 2701218 3324576 3601624 5402436 6649152 7203248 10804872 14406496 21609744 28812992 43219488 86438976