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85273524 = 22327248341
BaseRepresentation
bin1010001010100…
…10101110110100
312221110100021200
411011102232310
5133312223044
612243412500
72053545600
oct505225664
9187410250
1085273524
1144153296
1224684130
131488880b
14b47a500
157746369
hex5152bb4

85273524 has 54 divisors (see below), whose sum is σ = 250749954. Its totient is φ = 24363360.

The previous prime is 85273523. The next prime is 85273583. The reversal of 85273524 is 42537258.

It can be written as a sum of positive squares in only one way, i.e., 81540900 + 3732624 = 9030^2 + 1932^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85273523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22407 + ... + 25934.

Almost surely, 285273524 is an apocalyptic number.

85273524 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85273524 is an abundant number, since it is smaller than the sum of its proper divisors (165476430).

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

85273524 is a wasteful number, since it uses less digits than its factorization.

85273524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48365 (or 48353 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 85273524 is about 9234.3664644631. The cubic root of 85273524 is about 440.1540851525.

The spelling of 85273524 in words is "eighty-five million, two hundred seventy-three thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 48341 96682 145023 193364 290046 338387 435069 580092 676774 870138 1015161 1353548 1740276 2030322 2368709 3045483 4060644 4737418 6090966 7106127 9474836 12181932 14212254 21318381 28424508 42636762 85273524