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85458208 = 2511242779
BaseRepresentation
bin1010001011111…
…11110100100000
312221210201121211
411011333310200
5133334130313
612251355504
72055245203
oct505776440
9187721554
1085458208
114426a020
1224752b94
13149218b4
14b4c793a
157780e3d
hex517fd20

85458208 has 24 divisors (see below), whose sum is σ = 183541680. Its totient is φ = 38844480.

The previous prime is 85458203. The next prime is 85458229. The reversal of 85458208 is 80285458.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85458203) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121038 + ... + 121741.

It is an arithmetic number, because the mean of its divisors is an integer number (7647570).

Almost surely, 285458208 is an apocalyptic number.

85458208 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

85458208 is an abundant number, since it is smaller than the sum of its proper divisors (98083472).

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

85458208 is a wasteful number, since it uses less digits than its factorization.

85458208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242800 (or 242792 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 40.

The square root of 85458208 is about 9244.3608756906. The cubic root of 85458208 is about 440.4716155288.

It can be divided in two parts, 8 and 5458208, that multiplied together give a square (43665664 = 66082).

The spelling of 85458208 in words is "eighty-five million, four hundred fifty-eight thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 242779 485558 971116 1942232 2670569 3884464 5341138 7768928 10682276 21364552 42729104 85458208