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85383984 = 2437254119
BaseRepresentation
bin1010001011011…
…01101100110000
312221122221210210
411011231230300
5133324241414
612250024120
72054515620
oct505555460
9187587723
1085383984
1144219284
1224718040
13148c6b8a
14b4a8880
157768e59
hex516db30

85383984 has 40 divisors (see below), whose sum is σ = 252087040. Its totient is φ = 24395328.

The previous prime is 85383983. The next prime is 85383989. The reversal of 85383984 is 48938358.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (85383983) 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 7 ways as a sum of consecutive naturals, for example, 126724 + ... + 127395.

It is an arithmetic number, because the mean of its divisors is an integer number (6302176).

Almost surely, 285383984 is an apocalyptic number.

85383984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85383984 is an abundant number, since it is smaller than the sum of its proper divisors (166703056).

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

85383984 is a wasteful number, since it uses less digits than its factorization.

85383984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254137 (or 254131 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 85383984 is about 9240.3454480880. The cubic root of 85383984 is about 440.3440559658.

The spelling of 85383984 in words is "eighty-five million, three hundred eighty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 254119 508238 762357 1016476 1524714 1778833 2032952 3049428 3557666 4065904 5336499 6098856 7115332 10672998 12197712 14230664 21345996 28461328 42691992 85383984