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85086444 = 223311271801
BaseRepresentation
bin1010001001001…
…01000011101100
312221002211122210
411010211003230
5133240231234
612235410420
72052136302
oct504450354
9187084583
1085086444
1144035783
12245b3a10
1314821611
14b42c272
15770abe9
hex51250ec

85086444 has 48 divisors (see below), whose sum is σ = 206667776. Its totient is φ = 27216000.

The previous prime is 85086431. The next prime is 85086451. The reversal of 85086444 is 44468058.

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 15 ways as a sum of consecutive naturals, for example, 46344 + ... + 48144.

Almost surely, 285086444 is an apocalyptic number.

It is an amenable number.

85086444 is an abundant number, since it is smaller than the sum of its proper divisors (121581332).

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

85086444 is a wasteful number, since it uses less digits than its factorization.

85086444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 85086444 is about 9224.2313500909. The cubic root of 85086444 is about 439.8319675183.

The spelling of 85086444 in words is "eighty-five million, eighty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 31 62 93 124 127 186 254 372 381 508 762 1524 1801 3602 3937 5403 7204 7874 10806 11811 15748 21612 23622 47244 55831 111662 167493 223324 228727 334986 457454 669972 686181 914908 1372362 2744724 7090537 14181074 21271611 28362148 42543222 85086444