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85414336 = 267190657
BaseRepresentation
bin1010001011101…
…01000111000000
312221201111102221
411011311013000
5133331224321
612250420424
72055003250
oct505650700
9187644387
1085414336
114423a067
1224731714
1314907937
14b4b5960
157772e41
hex51751c0

85414336 has 28 divisors (see below), whose sum is σ = 193708528. Its totient is φ = 36605952.

The previous prime is 85414313. The next prime is 85414361. The reversal of 85414336 is 63341458.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

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, 94881 + ... + 95776.

Almost surely, 285414336 is an apocalyptic number.

It is an amenable number.

85414336 is an abundant number, since it is smaller than the sum of its proper divisors (108294192).

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

85414336 is a wasteful number, since it uses less digits than its factorization.

85414336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190676 (or 190666 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 85414336 is about 9241.9876649993. The cubic root of 85414336 is about 440.3962271060.

The spelling of 85414336 in words is "eighty-five million, four hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 190657 381314 762628 1334599 1525256 2669198 3050512 5338396 6101024 10676792 12202048 21353584 42707168 85414336