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85616608 = 2571134747
BaseRepresentation
bin1010001101001…
…10011111100000
312222002202220111
411012212133200
5133404212413
612255021104
72056505050
oct506463740
9188082814
1085616608
1144368030
122480a794
1314978a1c
14b529560
1577b2d3d
hex51a67e0

85616608 has 48 divisors (see below), whose sum is σ = 210155904. Its totient is φ = 33356160.

The previous prime is 85616593. The next prime is 85616617. The reversal of 85616608 is 80661658.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14910 + ... + 19837.

It is an arithmetic number, because the mean of its divisors is an integer number (4378248).

Almost surely, 285616608 is an apocalyptic number.

85616608 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

85616608 is an abundant number, since it is smaller than the sum of its proper divisors (124539296).

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

85616608 is a wasteful number, since it uses less digits than its factorization.

85616608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34775 (or 34767 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 85616608 is about 9252.9242945136. The cubic root of 85616608 is about 440.7435911229.

The spelling of 85616608 in words is "eighty-five million, six hundred sixteen thousand, six hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 34747 69494 138988 243229 277976 382217 486458 555952 764434 972916 1111904 1528868 1945832 2675519 3057736 3891664 5351038 6115472 7783328 10702076 12230944 21404152 42808304 85616608