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85208424 = 2337507193
BaseRepresentation
bin1010001010000…
…10110101101000
312221100000222120
411011002311220
5133303132144
612242151240
72053155030
oct505026550
9187300876
1085208424
1144109394
1224652520
1314864cb2
14b4608c0
157731e19
hex5142d68

85208424 has 32 divisors (see below), whose sum is σ = 243453120. Its totient is φ = 24345216.

The previous prime is 85208419. The next prime is 85208479. The reversal of 85208424 is 42480258.

It is a happy number.

It is a super-3 number, since 3×852084243 (a number of 25 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 253429 + ... + 253764.

It is an arithmetic number, because the mean of its divisors is an integer number (7607910).

Almost surely, 285208424 is an apocalyptic number.

85208424 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85208424 is an abundant number, since it is smaller than the sum of its proper divisors (158244696).

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

85208424 is a wasteful number, since it uses less digits than its factorization.

85208424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507209 (or 507205 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 85208424 is about 9230.8409151063. The cubic root of 85208424 is about 440.0420483231.

The spelling of 85208424 in words is "eighty-five million, two hundred eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 507193 1014386 1521579 2028772 3043158 3550351 4057544 6086316 7100702 10651053 12172632 14201404 21302106 28402808 42604212 85208424