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86758144 = 281130809
BaseRepresentation
bin1010010101111…
…01001100000000
320001020202210121
411022331030000
5134202230034
612335310024
72102301124
oct512751400
9201222717
1086758144
1144a77750
122507b314
1314c884a5
14b745584
15793b1b4
hex52bd300

86758144 has 36 divisors (see below), whose sum is σ = 188926920. Its totient is φ = 39434240.

The previous prime is 86758117. The next prime is 86758151. The reversal of 86758144 is 44185768.

It is a self number, because there is not a number n which added to its sum of digits gives 86758144.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 12589 + ... + 18220.

It is an arithmetic number, because the mean of its divisors is an integer number (5247970).

Almost surely, 286758144 is an apocalyptic number.

It is an amenable number.

86758144 is an abundant number, since it is smaller than the sum of its proper divisors (102168776).

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

86758144 is a wasteful number, since it uses less digits than its factorization.

86758144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30836 (or 30822 counting only the distinct ones).

The product of its digits is 215040, while the sum is 43.

The square root of 86758144 is about 9314.4051876650. The cubic root of 86758144 is about 442.6937774722.

The spelling of 86758144 in words is "eighty-six million, seven hundred fifty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 30809 61618 123236 246472 338899 492944 677798 985888 1355596 1971776 2711192 3943552 5422384 7887104 10844768 21689536 43379072 86758144