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85219616 = 25731912
BaseRepresentation
bin1010001010001…
…01100100100000
312221100121100002
411011011210200
5133304011431
612242315132
72053232456
oct505054440
9187317302
1085219616
1144116839
1224658aa8
131486a111
14b4649d6
1577353cb
hex5145920

85219616 has 36 divisors (see below), whose sum is σ = 170969526. Its totient is φ = 41806080.

The previous prime is 85219613. The next prime is 85219619. The reversal of 85219616 is 61691258.

It is an interprime number because it is at equal distance from previous prime (85219613) and next prime (85219619).

It can be written as a sum of positive squares in only one way, i.e., 70627216 + 14592400 = 8404^2 + 3820^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85219616.

It is not an unprimeable number, because it can be changed into a prime (85219613) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 446081 + ... + 446271.

Almost surely, 285219616 is an apocalyptic number.

It is an amenable number.

85219616 is an abundant number, since it is smaller than the sum of its proper divisors (85749910).

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

85219616 is an equidigital number, since it uses as much as digits as its factorization.

85219616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 266 counting only the distinct ones).

The product of its digits is 25920, while the sum is 38.

The square root of 85219616 is about 9231.4471238263. The cubic root of 85219616 is about 440.0613137696.

The spelling of 85219616 in words is "eighty-five million, two hundred nineteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 73 146 191 292 382 584 764 1168 1528 2336 3056 6112 13943 27886 36481 55772 72962 111544 145924 223088 291848 446176 583696 1167392 2663113 5326226 10652452 21304904 42609808 85219616